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Finding the Fourth Proportional to 409,512.30, 614,268.45 and 366,209.70

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Solution

The fourth proportional to 409,512.30, 614,268.45 and 366,209.70 is: 549,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,512.30 : 614,268.45 = 366,209.70 : x
  2. Step 2: Convert to fraction form
    409,512.30/614,268.45 = 366,209.70/x
  3. Step 3: Cross multiply
    409,512.30x = 614,268.45 × 366,209.70
  4. Step 4: Simplify right side
    409,512.30x = 224,951,064,793.97
  5. Step 5: Solve for x
    x = 224,951,064,793.97/409,512.30
  6. Step 6: Final answer
    x = 549,314.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.