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Finding the Fourth Proportional to 420,411.10, 580,180.13 and 239,149.30

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Solution

The fourth proportional to 420,411.10, 580,180.13 and 239,149.30 is: 330,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,411.10 : 580,180.13 = 239,149.30 : x
  2. Step 2: Convert to fraction form
    420,411.10/580,180.13 = 239,149.30/x
  3. Step 3: Cross multiply
    420,411.10x = 580,180.13 × 239,149.30
  4. Step 4: Simplify right side
    420,411.10x = 138,749,671,963.41
  5. Step 5: Solve for x
    x = 138,749,671,963.41/420,411.10
  6. Step 6: Final answer
    x = 330,033.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.