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Finding the Fourth Proportional to 497,764.80, 746,938.80 and 182,253.60

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Solution

The fourth proportional to 497,764.80, 746,938.80 and 182,253.60 is: 273,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,764.80 : 746,938.80 = 182,253.60 : x
  2. Step 2: Convert to fraction form
    497,764.80/746,938.80 = 182,253.60/x
  3. Step 3: Cross multiply
    497,764.80x = 746,938.80 × 182,253.60
  4. Step 4: Simplify right side
    497,764.80x = 136,132,285,279.68
  5. Step 5: Solve for x
    x = 136,132,285,279.68/497,764.80
  6. Step 6: Final answer
    x = 273,487.17

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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.