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Finding the Fourth Proportional to 444,726.74, 613,723.10 and 240,777.66

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Solution

The fourth proportional to 444,726.74, 613,723.10 and 240,777.66 is: 332,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,726.74 : 613,723.10 = 240,777.66 : x
  2. Step 2: Convert to fraction form
    444,726.74/613,723.10 = 240,777.66/x
  3. Step 3: Cross multiply
    444,726.74x = 613,723.10 × 240,777.66
  4. Step 4: Simplify right side
    444,726.74x = 147,770,811,905.95
  5. Step 5: Solve for x
    x = 147,770,811,905.95/444,726.74
  6. Step 6: Final answer
    x = 332,273.28

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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.