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Finding the Fourth Proportional to 486,169.40, 729,910.20 and 386,442.20

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Solution

The fourth proportional to 486,169.40, 729,910.20 and 386,442.20 is: 580,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,169.40 : 729,910.20 = 386,442.20 : x
  2. Step 2: Convert to fraction form
    486,169.40/729,910.20 = 386,442.20/x
  3. Step 3: Cross multiply
    486,169.40x = 729,910.20 × 386,442.20
  4. Step 4: Simplify right side
    486,169.40x = 282,068,103,490.44
  5. Step 5: Solve for x
    x = 282,068,103,490.44/486,169.40
  6. Step 6: Final answer
    x = 580,184.82

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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.