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Finding the Fourth Proportional to 454,432.80, 627,163.92 and 273,203.76

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Solution

The fourth proportional to 454,432.80, 627,163.92 and 273,203.76 is: 377,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,432.80 : 627,163.92 = 273,203.76 : x
  2. Step 2: Convert to fraction form
    454,432.80/627,163.92 = 273,203.76/x
  3. Step 3: Cross multiply
    454,432.80x = 627,163.92 × 273,203.76
  4. Step 4: Simplify right side
    454,432.80x = 171,343,541,080.34
  5. Step 5: Solve for x
    x = 171,343,541,080.34/454,432.80
  6. Step 6: Final answer
    x = 377,049.24

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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.