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Finding the Fourth Proportional to 383,856.13, 575,763.42 and 117,617.43

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Solution

The fourth proportional to 383,856.13, 575,763.42 and 117,617.43 is: 176,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,856.13 : 575,763.42 = 117,617.43 : x
  2. Step 2: Convert to fraction form
    383,856.13/575,763.42 = 117,617.43/x
  3. Step 3: Cross multiply
    383,856.13x = 575,763.42 × 117,617.43
  4. Step 4: Simplify right side
    383,856.13x = 67,719,816,348.59
  5. Step 5: Solve for x
    x = 67,719,816,348.59/383,856.13
  6. Step 6: Final answer
    x = 176,419.79

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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.