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Finding the Fourth Proportional to 518,822.40, 778,233.60 and 413,846.40

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Solution

The fourth proportional to 518,822.40, 778,233.60 and 413,846.40 is: 620,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,822.40 : 778,233.60 = 413,846.40 : x
  2. Step 2: Convert to fraction form
    518,822.40/778,233.60 = 413,846.40/x
  3. Step 3: Cross multiply
    518,822.40x = 778,233.60 × 413,846.40
  4. Step 4: Simplify right side
    518,822.40x = 322,069,173,719.04
  5. Step 5: Solve for x
    x = 322,069,173,719.04/518,822.40
  6. Step 6: Final answer
    x = 620,769.60

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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.