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Finding the Fourth Proportional to 532,132.20, 734,349.24 and 314,348.04

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Solution

The fourth proportional to 532,132.20, 734,349.24 and 314,348.04 is: 433,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,132.20 : 734,349.24 = 314,348.04 : x
  2. Step 2: Convert to fraction form
    532,132.20/734,349.24 = 314,348.04/x
  3. Step 3: Cross multiply
    532,132.20x = 734,349.24 × 314,348.04
  4. Step 4: Simplify right side
    532,132.20x = 230,841,244,269.49
  5. Step 5: Solve for x
    x = 230,841,244,269.49/532,132.20
  6. Step 6: Final answer
    x = 433,804.31

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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.