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Finding the Fourth Proportional to 437,932.08, 656,898.12 and 157,296.24

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Solution

The fourth proportional to 437,932.08, 656,898.12 and 157,296.24 is: 235,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,932.08 : 656,898.12 = 157,296.24 : x
  2. Step 2: Convert to fraction form
    437,932.08/656,898.12 = 157,296.24/x
  3. Step 3: Cross multiply
    437,932.08x = 656,898.12 × 157,296.24
  4. Step 4: Simplify right side
    437,932.08x = 103,327,604,339.07
  5. Step 5: Solve for x
    x = 103,327,604,339.07/437,932.08
  6. Step 6: Final answer
    x = 235,944.36

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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.