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Finding the Fourth Proportional to 645,132.30, 966,823.65 and 431,292.30

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Solution

The fourth proportional to 645,132.30, 966,823.65 and 431,292.30 is: 646,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,132.30 : 966,823.65 = 431,292.30 : x
  2. Step 2: Convert to fraction form
    645,132.30/966,823.65 = 431,292.30/x
  3. Step 3: Cross multiply
    645,132.30x = 966,823.65 × 431,292.30
  4. Step 4: Simplify right side
    645,132.30x = 416,983,595,702.90
  5. Step 5: Solve for x
    x = 416,983,595,702.90/645,132.30
  6. Step 6: Final answer
    x = 646,353.62

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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.