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Finding the Fourth Proportional to 711,591.63, 982,040.00 and 409,882.83

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Solution

The fourth proportional to 711,591.63, 982,040.00 and 409,882.83 is: 565,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,591.63 : 982,040.00 = 409,882.83 : x
  2. Step 2: Convert to fraction form
    711,591.63/982,040.00 = 409,882.83/x
  3. Step 3: Cross multiply
    711,591.63x = 982,040.00 × 409,882.83
  4. Step 4: Simplify right side
    711,591.63x = 402,521,332,323.79
  5. Step 5: Solve for x
    x = 402,521,332,323.79/711,591.63
  6. Step 6: Final answer
    x = 565,663.39

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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.