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Finding the Fourth Proportional to 296,717.90, 409,471.56 and 160,751.24

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Solution

The fourth proportional to 296,717.90, 409,471.56 and 160,751.24 is: 221,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,717.90 : 409,471.56 = 160,751.24 : x
  2. Step 2: Convert to fraction form
    296,717.90/409,471.56 = 160,751.24/x
  3. Step 3: Cross multiply
    296,717.90x = 409,471.56 × 160,751.24
  4. Step 4: Simplify right side
    296,717.90x = 65,823,061,014.73
  5. Step 5: Solve for x
    x = 65,823,061,014.73/296,717.90
  6. Step 6: Final answer
    x = 221,837.18

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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.