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Finding the Fourth Proportional to 296,481.78, 409,148.16 and 160,518.70

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Solution

The fourth proportional to 296,481.78, 409,148.16 and 160,518.70 is: 221,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,481.78 : 409,148.16 = 160,518.70 : x
  2. Step 2: Convert to fraction form
    296,481.78/409,148.16 = 160,518.70/x
  3. Step 3: Cross multiply
    296,481.78x = 409,148.16 × 160,518.70
  4. Step 4: Simplify right side
    296,481.78x = 65,675,930,750.59
  5. Step 5: Solve for x
    x = 65,675,930,750.59/296,481.78
  6. Step 6: Final answer
    x = 221,517.59

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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.