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Finding the Fourth Proportional to 382,451.40, 573,652.80 and 129,731.40

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Solution

The fourth proportional to 382,451.40, 573,652.80 and 129,731.40 is: 194,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,451.40 : 573,652.80 = 129,731.40 : x
  2. Step 2: Convert to fraction form
    382,451.40/573,652.80 = 129,731.40/x
  3. Step 3: Cross multiply
    382,451.40x = 573,652.80 × 129,731.40
  4. Step 4: Simplify right side
    382,451.40x = 74,420,780,857.92
  5. Step 5: Solve for x
    x = 74,420,780,857.92/382,451.40
  6. Step 6: Final answer
    x = 194,588.86

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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.