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Finding the Fourth Proportional to 484,713.80, 727,848.30 and 327,638.60

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Solution

The fourth proportional to 484,713.80, 727,848.30 and 327,638.60 is: 491,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,713.80 : 727,848.30 = 327,638.60 : x
  2. Step 2: Convert to fraction form
    484,713.80/727,848.30 = 327,638.60/x
  3. Step 3: Cross multiply
    484,713.80x = 727,848.30 × 327,638.60
  4. Step 4: Simplify right side
    484,713.80x = 238,471,198,024.38
  5. Step 5: Solve for x
    x = 238,471,198,024.38/484,713.80
  6. Step 6: Final answer
    x = 491,983.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.