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Finding the Fourth Proportional to 645,122.30, 966,808.65 and 431,282.30

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Solution

The fourth proportional to 645,122.30, 966,808.65 and 431,282.30 is: 646,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,122.30 : 966,808.65 = 431,282.30 : x
  2. Step 2: Convert to fraction form
    645,122.30/966,808.65 = 431,282.30/x
  3. Step 3: Cross multiply
    645,122.30x = 966,808.65 × 431,282.30
  4. Step 4: Simplify right side
    645,122.30x = 416,967,458,231.90
  5. Step 5: Solve for x
    x = 416,967,458,231.90/645,122.30
  6. Step 6: Final answer
    x = 646,338.62

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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.