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Finding the Fourth Proportional to 711,679.80, 982,093.69 and 405,854.61

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Solution

The fourth proportional to 711,679.80, 982,093.69 and 405,854.61 is: 560,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,679.80 : 982,093.69 = 405,854.61 : x
  2. Step 2: Convert to fraction form
    711,679.80/982,093.69 = 405,854.61/x
  3. Step 3: Cross multiply
    711,679.80x = 982,093.69 × 405,854.61
  4. Step 4: Simplify right side
    711,679.80x = 398,587,251,538.41
  5. Step 5: Solve for x
    x = 398,587,251,538.41/711,679.80
  6. Step 6: Final answer
    x = 560,065.43

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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.