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Finding the Fourth Proportional to 442,724.96, 610,957.60 and 251,738.34

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Solution

The fourth proportional to 442,724.96, 610,957.60 and 251,738.34 is: 347,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,724.96 : 610,957.60 = 251,738.34 : x
  2. Step 2: Convert to fraction form
    442,724.96/610,957.60 = 251,738.34/x
  3. Step 3: Cross multiply
    442,724.96x = 610,957.60 × 251,738.34
  4. Step 4: Simplify right side
    442,724.96x = 153,801,452,034.38
  5. Step 5: Solve for x
    x = 153,801,452,034.38/442,724.96
  6. Step 6: Final answer
    x = 347,397.29

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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.