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Finding the Fourth Proportional to 518,811.40, 778,217.10 and 413,835.40

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Solution

The fourth proportional to 518,811.40, 778,217.10 and 413,835.40 is: 620,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,811.40 : 778,217.10 = 413,835.40 : x
  2. Step 2: Convert to fraction form
    518,811.40/778,217.10 = 413,835.40/x
  3. Step 3: Cross multiply
    518,811.40x = 778,217.10 × 413,835.40
  4. Step 4: Simplify right side
    518,811.40x = 322,053,784,865.34
  5. Step 5: Solve for x
    x = 322,053,784,865.34/518,811.40
  6. Step 6: Final answer
    x = 620,753.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.