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Finding the Fourth Proportional to 431,616.28, 596,006.57 and 270,747.85

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Solution

The fourth proportional to 431,616.28, 596,006.57 and 270,747.85 is: 373,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,616.28 : 596,006.57 = 270,747.85 : x
  2. Step 2: Convert to fraction form
    431,616.28/596,006.57 = 270,747.85/x
  3. Step 3: Cross multiply
    431,616.28x = 596,006.57 × 270,747.85
  4. Step 4: Simplify right side
    431,616.28x = 161,367,496,059.64
  5. Step 5: Solve for x
    x = 161,367,496,059.64/431,616.28
  6. Step 6: Final answer
    x = 373,867.96

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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.