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Finding the Fourth Proportional to 296,483.68, 409,147.56 and 160,517.60

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Solution

The fourth proportional to 296,483.68, 409,147.56 and 160,517.60 is: 221,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,483.68 : 409,147.56 = 160,517.60 : x
  2. Step 2: Convert to fraction form
    296,483.68/409,147.56 = 160,517.60/x
  3. Step 3: Cross multiply
    296,483.68x = 409,147.56 × 160,517.60
  4. Step 4: Simplify right side
    296,483.68x = 65,675,384,377.06
  5. Step 5: Solve for x
    x = 65,675,384,377.06/296,483.68
  6. Step 6: Final answer
    x = 221,514.33

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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.