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Finding the Fourth Proportional to 517,853.04, 714,534.88 and 327,127.92

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Solution

The fourth proportional to 517,853.04, 714,534.88 and 327,127.92 is: 451,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,853.04 : 714,534.88 = 327,127.92 : x
  2. Step 2: Convert to fraction form
    517,853.04/714,534.88 = 327,127.92/x
  3. Step 3: Cross multiply
    517,853.04x = 714,534.88 × 327,127.92
  4. Step 4: Simplify right side
    517,853.04x = 233,744,309,061.85
  5. Step 5: Solve for x
    x = 233,744,309,061.85/517,853.04
  6. Step 6: Final answer
    x = 451,371.90

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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.