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Finding the Fourth Proportional to 497,796.32, 746,693 and 123,819.32

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Solution

The fourth proportional to 497,796.32, 746,693 and 123,819.32 is: 185,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,796.32 : 746,693 = 123,819.32 : x
  2. Step 2: Convert to fraction form
    497,796.32/746,693 = 123,819.32/x
  3. Step 3: Cross multiply
    497,796.32x = 746,693 × 123,819.32
  4. Step 4: Simplify right side
    497,796.32x = 92,455,019,508.76
  5. Step 5: Solve for x
    x = 92,455,019,508.76/497,796.32
  6. Step 6: Final answer
    x = 185,728.61

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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.