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Finding the Fourth Proportional to 416,638.16, 574,958.89 and 232,876.49

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Solution

The fourth proportional to 416,638.16, 574,958.89 and 232,876.49 is: 321,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,638.16 : 574,958.89 = 232,876.49 : x
  2. Step 2: Convert to fraction form
    416,638.16/574,958.89 = 232,876.49/x
  3. Step 3: Cross multiply
    416,638.16x = 574,958.89 × 232,876.49
  4. Step 4: Simplify right side
    416,638.16x = 133,894,405,613.80
  5. Step 5: Solve for x
    x = 133,894,405,613.80/416,638.16
  6. Step 6: Final answer
    x = 321,368.56

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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.