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Finding the Fourth Proportional to 497,634.60, 746,306.10 and 231,330.90

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Solution

The fourth proportional to 497,634.60, 746,306.10 and 231,330.90 is: 346,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,634.60 : 746,306.10 = 231,330.90 : x
  2. Step 2: Convert to fraction form
    497,634.60/746,306.10 = 231,330.90/x
  3. Step 3: Cross multiply
    497,634.60x = 746,306.10 × 231,330.90
  4. Step 4: Simplify right side
    497,634.60x = 172,643,661,788.49
  5. Step 5: Solve for x
    x = 172,643,661,788.49/497,634.60
  6. Step 6: Final answer
    x = 346,928.57

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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.