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Finding the Fourth Proportional to 406,959.56, 561,607.38 and 225,660.92

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Solution

The fourth proportional to 406,959.56, 561,607.38 and 225,660.92 is: 311,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,959.56 : 561,607.38 = 225,660.92 : x
  2. Step 2: Convert to fraction form
    406,959.56/561,607.38 = 225,660.92/x
  3. Step 3: Cross multiply
    406,959.56x = 561,607.38 × 225,660.92
  4. Step 4: Simplify right side
    406,959.56x = 126,732,838,049.59
  5. Step 5: Solve for x
    x = 126,732,838,049.59/406,959.56
  6. Step 6: Final answer
    x = 311,413.84

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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.