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Finding the Fourth Proportional to 296,481.87, 409,148.28 and 160,518.78

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Solution

The fourth proportional to 296,481.87, 409,148.28 and 160,518.78 is: 221,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,481.87 : 409,148.28 = 160,518.78 : x
  2. Step 2: Convert to fraction form
    296,481.87/409,148.28 = 160,518.78/x
  3. Step 3: Cross multiply
    296,481.87x = 409,148.28 × 160,518.78
  4. Step 4: Simplify right side
    296,481.87x = 65,675,982,744.70
  5. Step 5: Solve for x
    x = 65,675,982,744.70/296,481.87
  6. Step 6: Final answer
    x = 221,517.70

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1.5x scale

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.