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Finding the Fourth Proportional to 360,778.32, 497,874.96 and 199,644.39

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Solution

The fourth proportional to 360,778.32, 497,874.96 and 199,644.39 is: 275,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,778.32 : 497,874.96 = 199,644.39 : x
  2. Step 2: Convert to fraction form
    360,778.32/497,874.96 = 199,644.39/x
  3. Step 3: Cross multiply
    360,778.32x = 497,874.96 × 199,644.39
  4. Step 4: Simplify right side
    360,778.32x = 99,397,942,685.47
  5. Step 5: Solve for x
    x = 99,397,942,685.47/360,778.32
  6. Step 6: Final answer
    x = 275,509.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.