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Finding the Fourth Proportional to 497,730.13, 746,598.09 and 123,753.13

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Solution

The fourth proportional to 497,730.13, 746,598.09 and 123,753.13 is: 185,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,730.13 : 746,598.09 = 123,753.13 : x
  2. Step 2: Convert to fraction form
    497,730.13/746,598.09 = 123,753.13/x
  3. Step 3: Cross multiply
    497,730.13x = 746,598.09 × 123,753.13
  4. Step 4: Simplify right side
    497,730.13x = 92,393,850,489.52
  5. Step 5: Solve for x
    x = 92,393,850,489.52/497,730.13
  6. Step 6: Final answer
    x = 185,630.41

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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.