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Finding the Fourth Proportional to 497,755.32, 746,635.94 and 123,778.32

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Solution

The fourth proportional to 497,755.32, 746,635.94 and 123,778.32 is: 185,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,755.32 : 746,635.94 = 123,778.32 : x
  2. Step 2: Convert to fraction form
    497,755.32/746,635.94 = 123,778.32/x
  3. Step 3: Cross multiply
    497,755.32x = 746,635.94 × 123,778.32
  4. Step 4: Simplify right side
    497,755.32x = 92,417,342,304.82
  5. Step 5: Solve for x
    x = 92,417,342,304.82/497,755.32
  6. Step 6: Final answer
    x = 185,668.22

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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.