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Finding the Fourth Proportional to 519,497.30, 778,857.15 and 283,106.90

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Solution

The fourth proportional to 519,497.30, 778,857.15 and 283,106.90 is: 424,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,497.30 : 778,857.15 = 283,106.90 : x
  2. Step 2: Convert to fraction form
    519,497.30/778,857.15 = 283,106.90/x
  3. Step 3: Cross multiply
    519,497.30x = 778,857.15 × 283,106.90
  4. Step 4: Simplify right side
    519,497.30x = 220,499,833,279.34
  5. Step 5: Solve for x
    x = 220,499,833,279.34/519,497.30
  6. Step 6: Final answer
    x = 424,448.47

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Double scale
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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.