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Finding the Fourth Proportional to 438,080.76, 657,121.14 and 171,966.60

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Solution

The fourth proportional to 438,080.76, 657,121.14 and 171,966.60 is: 257,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,080.76 : 657,121.14 = 171,966.60 : x
  2. Step 2: Convert to fraction form
    438,080.76/657,121.14 = 171,966.60/x
  3. Step 3: Cross multiply
    438,080.76x = 657,121.14 × 171,966.60
  4. Step 4: Simplify right side
    438,080.76x = 113,002,888,233.92
  5. Step 5: Solve for x
    x = 113,002,888,233.92/438,080.76
  6. Step 6: Final answer
    x = 257,949.90

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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.