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Finding the Fourth Proportional to 516,613.50, 712,935.14 and 284,050.28

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Solution

The fourth proportional to 516,613.50, 712,935.14 and 284,050.28 is: 391,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,613.50 : 712,935.14 = 284,050.28 : x
  2. Step 2: Convert to fraction form
    516,613.50/712,935.14 = 284,050.28/x
  3. Step 3: Cross multiply
    516,613.50x = 712,935.14 × 284,050.28
  4. Step 4: Simplify right side
    516,613.50x = 202,509,421,153.91
  5. Step 5: Solve for x
    x = 202,509,421,153.91/516,613.50
  6. Step 6: Final answer
    x = 391,994.06

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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.