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Finding the Fourth Proportional to 416,176.38, 574,324.43 and 225,191.75

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Solution

The fourth proportional to 416,176.38, 574,324.43 and 225,191.75 is: 310,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,176.38 : 574,324.43 = 225,191.75 : x
  2. Step 2: Convert to fraction form
    416,176.38/574,324.43 = 225,191.75/x
  3. Step 3: Cross multiply
    416,176.38x = 574,324.43 × 225,191.75
  4. Step 4: Simplify right side
    416,176.38x = 129,333,119,461.87
  5. Step 5: Solve for x
    x = 129,333,119,461.87/416,176.38
  6. Step 6: Final answer
    x = 310,765.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.