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Finding the Fourth Proportional to 492,706.80, 739,169.55 and 226,403.10

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Solution

The fourth proportional to 492,706.80, 739,169.55 and 226,403.10 is: 339,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,706.80 : 739,169.55 = 226,403.10 : x
  2. Step 2: Convert to fraction form
    492,706.80/739,169.55 = 226,403.10/x
  3. Step 3: Cross multiply
    492,706.80x = 739,169.55 × 226,403.10
  4. Step 4: Simplify right side
    492,706.80x = 167,350,277,545.61
  5. Step 5: Solve for x
    x = 167,350,277,545.61/492,706.80
  6. Step 6: Final answer
    x = 339,654.90

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Why These Related Problems?

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