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Finding the Fourth Proportional to 431,265.96, 646,876.80 and 165,006

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Solution

The fourth proportional to 431,265.96, 646,876.80 and 165,006 is: 247,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,265.96 : 646,876.80 = 165,006 : x
  2. Step 2: Convert to fraction form
    431,265.96/646,876.80 = 165,006/x
  3. Step 3: Cross multiply
    431,265.96x = 646,876.80 × 165,006
  4. Step 4: Simplify right side
    431,265.96x = 106,738,553,260.80
  5. Step 5: Solve for x
    x = 106,738,553,260.80/431,265.96
  6. Step 6: Final answer
    x = 247,500.53

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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.