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Finding the Fourth Proportional to 638,227.38, 880,738.62 and 347,848.14

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Solution

The fourth proportional to 638,227.38, 880,738.62 and 347,848.14 is: 480,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,227.38 : 880,738.62 = 347,848.14 : x
  2. Step 2: Convert to fraction form
    638,227.38/880,738.62 = 347,848.14/x
  3. Step 3: Cross multiply
    638,227.38x = 880,738.62 × 347,848.14
  4. Step 4: Simplify right side
    638,227.38x = 306,363,290,793.17
  5. Step 5: Solve for x
    x = 306,363,290,793.17/638,227.38
  6. Step 6: Final answer
    x = 480,022.17

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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.