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Finding the Fourth Proportional to 296,471.76, 409,128.17 and 160,502.22

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Solution

The fourth proportional to 296,471.76, 409,128.17 and 160,502.22 is: 221,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,471.76 : 409,128.17 = 160,502.22 : x
  2. Step 2: Convert to fraction form
    296,471.76/409,128.17 = 160,502.22/x
  3. Step 3: Cross multiply
    296,471.76x = 409,128.17 × 160,502.22
  4. Step 4: Simplify right side
    296,471.76x = 65,665,978,747.03
  5. Step 5: Solve for x
    x = 65,665,978,747.03/296,471.76
  6. Step 6: Final answer
    x = 221,491.51

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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.