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Finding the Fourth Proportional to 486,016.20, 729,024.30 and 456,491.70

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Solution

The fourth proportional to 486,016.20, 729,024.30 and 456,491.70 is: 684,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,016.20 : 729,024.30 = 456,491.70 : x
  2. Step 2: Convert to fraction form
    486,016.20/729,024.30 = 456,491.70/x
  3. Step 3: Cross multiply
    486,016.20x = 729,024.30 × 456,491.70
  4. Step 4: Simplify right side
    486,016.20x = 332,793,542,048.31
  5. Step 5: Solve for x
    x = 332,793,542,048.31/486,016.20
  6. Step 6: Final answer
    x = 684,737.55

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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.