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Finding the Fourth Proportional to 442,489.14, 610,633.89 and 241,285.14

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Solution

The fourth proportional to 442,489.14, 610,633.89 and 241,285.14 is: 332,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,489.14 : 610,633.89 = 241,285.14 : x
  2. Step 2: Convert to fraction form
    442,489.14/610,633.89 = 241,285.14/x
  3. Step 3: Cross multiply
    442,489.14x = 610,633.89 × 241,285.14
  4. Step 4: Simplify right side
    442,489.14x = 147,336,883,637.40
  5. Step 5: Solve for x
    x = 147,336,883,637.40/442,489.14
  6. Step 6: Final answer
    x = 332,972.88

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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.