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Finding the Fourth Proportional to 397,961.38, 549,158.98 and 225,882.87

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Solution

The fourth proportional to 397,961.38, 549,158.98 and 225,882.87 is: 311,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,961.38 : 549,158.98 = 225,882.87 : x
  2. Step 2: Convert to fraction form
    397,961.38/549,158.98 = 225,882.87/x
  3. Step 3: Cross multiply
    397,961.38x = 549,158.98 × 225,882.87
  4. Step 4: Simplify right side
    397,961.38x = 124,045,606,488.67
  5. Step 5: Solve for x
    x = 124,045,606,488.67/397,961.38
  6. Step 6: Final answer
    x = 311,702.62

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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.