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Finding the Fourth Proportional to 437,296.80, 656,098.80 and 156,823.20

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Solution

The fourth proportional to 437,296.80, 656,098.80 and 156,823.20 is: 235,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,296.80 : 656,098.80 = 156,823.20 : x
  2. Step 2: Convert to fraction form
    437,296.80/656,098.80 = 156,823.20/x
  3. Step 3: Cross multiply
    437,296.80x = 656,098.80 × 156,823.20
  4. Step 4: Simplify right side
    437,296.80x = 102,891,513,332.16
  5. Step 5: Solve for x
    x = 102,891,513,332.16/437,296.80
  6. Step 6: Final answer
    x = 235,289.88

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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.