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Finding the Fourth Proportional to 296,489.08, 409,151.90 and 160,519.42

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Solution

The fourth proportional to 296,489.08, 409,151.90 and 160,519.42 is: 221,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,489.08 : 409,151.90 = 160,519.42 : x
  2. Step 2: Convert to fraction form
    296,489.08/409,151.90 = 160,519.42/x
  3. Step 3: Cross multiply
    296,489.08x = 409,151.90 × 160,519.42
  4. Step 4: Simplify right side
    296,489.08x = 65,676,825,679.90
  5. Step 5: Solve for x
    x = 65,676,825,679.90/296,489.08
  6. Step 6: Final answer
    x = 221,515.16

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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.