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Finding the Fourth Proportional to 645,134.80, 966,827.40 and 431,294.80

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Solution

The fourth proportional to 645,134.80, 966,827.40 and 431,294.80 is: 646,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,134.80 : 966,827.40 = 431,294.80 : x
  2. Step 2: Convert to fraction form
    645,134.80/966,827.40 = 431,294.80/x
  3. Step 3: Cross multiply
    645,134.80x = 966,827.40 × 431,294.80
  4. Step 4: Simplify right side
    645,134.80x = 416,987,630,117.52
  5. Step 5: Solve for x
    x = 416,987,630,117.52/645,134.80
  6. Step 6: Final answer
    x = 646,357.37

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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.