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Finding the Fourth Proportional to 516,739.62, 775,059.31 and 156,913.58

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Solution

The fourth proportional to 516,739.62, 775,059.31 and 156,913.58 is: 235,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,739.62 : 775,059.31 = 156,913.58 : x
  2. Step 2: Convert to fraction form
    516,739.62/775,059.31 = 156,913.58/x
  3. Step 3: Cross multiply
    516,739.62x = 775,059.31 × 156,913.58
  4. Step 4: Simplify right side
    516,739.62x = 121,617,331,044.43
  5. Step 5: Solve for x
    x = 121,617,331,044.43/516,739.62
  6. Step 6: Final answer
    x = 235,355.15

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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.