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Finding the Fourth Proportional to 382,338.56, 573,470.74 and 116,101.40

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Solution

The fourth proportional to 382,338.56, 573,470.74 and 116,101.40 is: 174,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,338.56 : 573,470.74 = 116,101.40 : x
  2. Step 2: Convert to fraction form
    382,338.56/573,470.74 = 116,101.40/x
  3. Step 3: Cross multiply
    382,338.56x = 573,470.74 × 116,101.40
  4. Step 4: Simplify right side
    382,338.56x = 66,580,755,773.04
  5. Step 5: Solve for x
    x = 66,580,755,773.04/382,338.56
  6. Step 6: Final answer
    x = 174,140.83

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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.