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Finding the Fourth Proportional to 537,514.72, 741,751.64 and 295,774.64

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Solution

The fourth proportional to 537,514.72, 741,751.64 and 295,774.64 is: 408,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,514.72 : 741,751.64 = 295,774.64 : x
  2. Step 2: Convert to fraction form
    537,514.72/741,751.64 = 295,774.64/x
  3. Step 3: Cross multiply
    537,514.72x = 741,751.64 × 295,774.64
  4. Step 4: Simplify right side
    537,514.72x = 219,391,324,290.41
  5. Step 5: Solve for x
    x = 219,391,324,290.41/537,514.72
  6. Step 6: Final answer
    x = 408,158.73

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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.