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Finding the Fourth Proportional to 416,181.38, 574,331.34 and 225,196.76

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Solution

The fourth proportional to 416,181.38, 574,331.34 and 225,196.76 is: 310,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,181.38 : 574,331.34 = 225,196.76 : x
  2. Step 2: Convert to fraction form
    416,181.38/574,331.34 = 225,196.76/x
  3. Step 3: Cross multiply
    416,181.38x = 574,331.34 × 225,196.76
  4. Step 4: Simplify right side
    416,181.38x = 129,337,556,934.46
  5. Step 5: Solve for x
    x = 129,337,556,934.46/416,181.38
  6. Step 6: Final answer
    x = 310,772.09

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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.