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Finding the Fourth Proportional to 431,401.70, 647,102.55 and 221,449.70

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Solution

The fourth proportional to 431,401.70, 647,102.55 and 221,449.70 is: 332,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,401.70 : 647,102.55 = 221,449.70 : x
  2. Step 2: Convert to fraction form
    431,401.70/647,102.55 = 221,449.70/x
  3. Step 3: Cross multiply
    431,401.70x = 647,102.55 × 221,449.70
  4. Step 4: Simplify right side
    431,401.70x = 143,300,665,566.74
  5. Step 5: Solve for x
    x = 143,300,665,566.74/431,401.70
  6. Step 6: Final answer
    x = 332,174.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.