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Finding the Fourth Proportional to 489,092.60, 733,638.90 and 471,377.90

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Solution

The fourth proportional to 489,092.60, 733,638.90 and 471,377.90 is: 707,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,092.60 : 733,638.90 = 471,377.90 : x
  2. Step 2: Convert to fraction form
    489,092.60/733,638.90 = 471,377.90/x
  3. Step 3: Cross multiply
    489,092.60x = 733,638.90 × 471,377.90
  4. Step 4: Simplify right side
    489,092.60x = 345,821,164,040.31
  5. Step 5: Solve for x
    x = 345,821,164,040.31/489,092.60
  6. Step 6: Final answer
    x = 707,066.85

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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.