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Finding the Fourth Proportional to 327,024.32, 491,480.65 and 304,320.19

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Solution

The fourth proportional to 327,024.32, 491,480.65 and 304,320.19 is: 457,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,024.32 : 491,480.65 = 304,320.19 : x
  2. Step 2: Convert to fraction form
    327,024.32/491,480.65 = 304,320.19/x
  3. Step 3: Cross multiply
    327,024.32x = 491,480.65 × 304,320.19
  4. Step 4: Simplify right side
    327,024.32x = 149,567,482,331.92
  5. Step 5: Solve for x
    x = 149,567,482,331.92/327,024.32
  6. Step 6: Final answer
    x = 457,358.90

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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.