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Finding the Fourth Proportional to 516,778.57, 713,141.13 and 287,323.98

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Solution

The fourth proportional to 516,778.57, 713,141.13 and 287,323.98 is: 396,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,778.57 : 713,141.13 = 287,323.98 : x
  2. Step 2: Convert to fraction form
    516,778.57/713,141.13 = 287,323.98/x
  3. Step 3: Cross multiply
    516,778.57x = 713,141.13 × 287,323.98
  4. Step 4: Simplify right side
    516,778.57x = 204,902,547,773.30
  5. Step 5: Solve for x
    x = 204,902,547,773.30/516,778.57
  6. Step 6: Final answer
    x = 396,499.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.