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Finding the Fourth Proportional to 409,773.87, 614,447.55 and 156,978.54

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Solution

The fourth proportional to 409,773.87, 614,447.55 and 156,978.54 is: 235,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,773.87 : 614,447.55 = 156,978.54 : x
  2. Step 2: Convert to fraction form
    409,773.87/614,447.55 = 156,978.54/x
  3. Step 3: Cross multiply
    409,773.87x = 614,447.55 × 156,978.54
  4. Step 4: Simplify right side
    409,773.87x = 96,455,079,305.58
  5. Step 5: Solve for x
    x = 96,455,079,305.58/409,773.87
  6. Step 6: Final answer
    x = 235,386.12

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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.