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Finding the Fourth Proportional to 477,711.52, 715,921.68 and 182,062.24

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Solution

The fourth proportional to 477,711.52, 715,921.68 and 182,062.24 is: 272,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,711.52 : 715,921.68 = 182,062.24 : x
  2. Step 2: Convert to fraction form
    477,711.52/715,921.68 = 182,062.24/x
  3. Step 3: Cross multiply
    477,711.52x = 715,921.68 × 182,062.24
  4. Step 4: Simplify right side
    477,711.52x = 130,342,304,725.36
  5. Step 5: Solve for x
    x = 130,342,304,725.36/477,711.52
  6. Step 6: Final answer
    x = 272,847.31

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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.