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Finding the Fourth Proportional to 497,758.06, 746,640.06 and 123,781.06

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Solution

The fourth proportional to 497,758.06, 746,640.06 and 123,781.06 is: 185,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,758.06 : 746,640.06 = 123,781.06 : x
  2. Step 2: Convert to fraction form
    497,758.06/746,640.06 = 123,781.06/x
  3. Step 3: Cross multiply
    497,758.06x = 746,640.06 × 123,781.06
  4. Step 4: Simplify right side
    497,758.06x = 92,419,898,065.26
  5. Step 5: Solve for x
    x = 92,419,898,065.26/497,758.06
  6. Step 6: Final answer
    x = 185,672.33

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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.