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Finding the Fourth Proportional to 394,045.83, 543,787.43 and 224,281.17

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Solution

The fourth proportional to 394,045.83, 543,787.43 and 224,281.17 is: 309,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,045.83 : 543,787.43 = 224,281.17 : x
  2. Step 2: Convert to fraction form
    394,045.83/543,787.43 = 224,281.17/x
  3. Step 3: Cross multiply
    394,045.83x = 543,787.43 × 224,281.17
  4. Step 4: Simplify right side
    394,045.83x = 121,961,279,910.29
  5. Step 5: Solve for x
    x = 121,961,279,910.29/394,045.83
  6. Step 6: Final answer
    x = 309,510.39

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Why These Related Problems?

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