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Finding the Fourth Proportional to 294,727.44, 406,726.92 and 160,591.44

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Solution

The fourth proportional to 294,727.44, 406,726.92 and 160,591.44 is: 221,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,727.44 : 406,726.92 = 160,591.44 : x
  2. Step 2: Convert to fraction form
    294,727.44/406,726.92 = 160,591.44/x
  3. Step 3: Cross multiply
    294,727.44x = 406,726.92 × 160,591.44
  4. Step 4: Simplify right side
    294,727.44x = 65,316,861,769.56
  5. Step 5: Solve for x
    x = 65,316,861,769.56/294,727.44
  6. Step 6: Final answer
    x = 221,617.85

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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.