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Finding the Fourth Proportional to 327,509.92, 491,385.03 and 138,017.98

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Solution

The fourth proportional to 327,509.92, 491,385.03 and 138,017.98 is: 207,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,509.92 : 491,385.03 = 138,017.98 : x
  2. Step 2: Convert to fraction form
    327,509.92/491,385.03 = 138,017.98/x
  3. Step 3: Cross multiply
    327,509.92x = 491,385.03 × 138,017.98
  4. Step 4: Simplify right side
    327,509.92x = 67,819,969,242.84
  5. Step 5: Solve for x
    x = 67,819,969,242.84/327,509.92
  6. Step 6: Final answer
    x = 207,077.60

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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.