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Finding the Fourth Proportional to 406,391.68, 560,826.42 and 234,306.64

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Solution

The fourth proportional to 406,391.68, 560,826.42 and 234,306.64 is: 323,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,391.68 : 560,826.42 = 234,306.64 : x
  2. Step 2: Convert to fraction form
    406,391.68/560,826.42 = 234,306.64/x
  3. Step 3: Cross multiply
    406,391.68x = 560,826.42 × 234,306.64
  4. Step 4: Simplify right side
    406,391.68x = 131,405,354,093.43
  5. Step 5: Solve for x
    x = 131,405,354,093.43/406,391.68
  6. Step 6: Final answer
    x = 323,346.57

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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.