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Finding the Fourth Proportional to 532,132.92, 734,437.10 and 317,286.20

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Solution

The fourth proportional to 532,132.92, 734,437.10 and 317,286.20 is: 437,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,132.92 : 734,437.10 = 317,286.20 : x
  2. Step 2: Convert to fraction form
    532,132.92/734,437.10 = 317,286.20/x
  3. Step 3: Cross multiply
    532,132.92x = 734,437.10 × 317,286.20
  4. Step 4: Simplify right side
    532,132.92x = 233,026,756,598.02
  5. Step 5: Solve for x
    x = 233,026,756,598.02/532,132.92
  6. Step 6: Final answer
    x = 437,910.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.