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Finding the Fourth Proportional to 532,132.40, 798,198.60 and 413,159.60

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Solution

The fourth proportional to 532,132.40, 798,198.60 and 413,159.60 is: 619,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,132.40 : 798,198.60 = 413,159.60 : x
  2. Step 2: Convert to fraction form
    532,132.40/798,198.60 = 413,159.60/x
  3. Step 3: Cross multiply
    532,132.40x = 798,198.60 × 413,159.60
  4. Step 4: Simplify right side
    532,132.40x = 329,783,414,296.56
  5. Step 5: Solve for x
    x = 329,783,414,296.56/532,132.40
  6. Step 6: Final answer
    x = 619,739.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.