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Finding the Fourth Proportional to 516,707.52, 713,059.16 and 284,149.46

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Solution

The fourth proportional to 516,707.52, 713,059.16 and 284,149.46 is: 392,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,707.52 : 713,059.16 = 284,149.46 : x
  2. Step 2: Convert to fraction form
    516,707.52/713,059.16 = 284,149.46/x
  3. Step 3: Cross multiply
    516,707.52x = 713,059.16 × 284,149.46
  4. Step 4: Simplify right side
    516,707.52x = 202,615,375,262.05
  5. Step 5: Solve for x
    x = 202,615,375,262.05/516,707.52
  6. Step 6: Final answer
    x = 392,127.78

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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.