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Finding the Fourth Proportional to 383,494.73, 575,242.10 and 117,255.25

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Solution

The fourth proportional to 383,494.73, 575,242.10 and 117,255.25 is: 175,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,494.73 : 575,242.10 = 117,255.25 : x
  2. Step 2: Convert to fraction form
    383,494.73/575,242.10 = 117,255.25/x
  3. Step 3: Cross multiply
    383,494.73x = 575,242.10 × 117,255.25
  4. Step 4: Simplify right side
    383,494.73x = 67,450,156,246.03
  5. Step 5: Solve for x
    x = 67,450,156,246.03/383,494.73
  6. Step 6: Final answer
    x = 175,882.88

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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.