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Finding the Fourth Proportional to 498,292.80, 747,672.48 and 217,773.60

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Solution

The fourth proportional to 498,292.80, 747,672.48 and 217,773.60 is: 326,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,292.80 : 747,672.48 = 217,773.60 : x
  2. Step 2: Convert to fraction form
    498,292.80/747,672.48 = 217,773.60/x
  3. Step 3: Cross multiply
    498,292.80x = 747,672.48 × 217,773.60
  4. Step 4: Simplify right side
    498,292.80x = 162,823,327,590.53
  5. Step 5: Solve for x
    x = 162,823,327,590.53/498,292.80
  6. Step 6: Final answer
    x = 326,762.35

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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.