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Finding the Fourth Proportional to 442,309.68, 610,387.38 and 241,105.68

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Solution

The fourth proportional to 442,309.68, 610,387.38 and 241,105.68 is: 332,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,309.68 : 610,387.38 = 241,105.68 : x
  2. Step 2: Convert to fraction form
    442,309.68/610,387.38 = 241,105.68/x
  3. Step 3: Cross multiply
    442,309.68x = 610,387.38 × 241,105.68
  4. Step 4: Simplify right side
    442,309.68x = 147,167,864,318.32
  5. Step 5: Solve for x
    x = 147,167,864,318.32/442,309.68
  6. Step 6: Final answer
    x = 332,725.85

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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.