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Finding the Fourth Proportional to 327,097.41, 490,712.01 and 116,729.88

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Solution

The fourth proportional to 327,097.41, 490,712.01 and 116,729.88 is: 175,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,097.41 : 490,712.01 = 116,729.88 : x
  2. Step 2: Convert to fraction form
    327,097.41/490,712.01 = 116,729.88/x
  3. Step 3: Cross multiply
    327,097.41x = 490,712.01 × 116,729.88
  4. Step 4: Simplify right side
    327,097.41x = 57,280,754,041.86
  5. Step 5: Solve for x
    x = 57,280,754,041.86/327,097.41
  6. Step 6: Final answer
    x = 175,118.34

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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.