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Finding the Fourth Proportional to 516,706.52, 713,057.78 and 284,148.46

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Solution

The fourth proportional to 516,706.52, 713,057.78 and 284,148.46 is: 392,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,706.52 : 713,057.78 = 284,148.46 : x
  2. Step 2: Convert to fraction form
    516,706.52/713,057.78 = 284,148.46/x
  3. Step 3: Cross multiply
    516,706.52x = 713,057.78 × 284,148.46
  4. Step 4: Simplify right side
    516,706.52x = 202,614,270,078.02
  5. Step 5: Solve for x
    x = 202,614,270,078.02/516,706.52
  6. Step 6: Final answer
    x = 392,126.40

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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.