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Finding the Fourth Proportional to 296,672.67, 409,410.24 and 160,706.61

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Solution

The fourth proportional to 296,672.67, 409,410.24 and 160,706.61 is: 221,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,672.67 : 409,410.24 = 160,706.61 : x
  2. Step 2: Convert to fraction form
    296,672.67/409,410.24 = 160,706.61/x
  3. Step 3: Cross multiply
    296,672.67x = 409,410.24 × 160,706.61
  4. Step 4: Simplify right side
    296,672.67x = 65,794,931,769.69
  5. Step 5: Solve for x
    x = 65,794,931,769.69/296,672.67
  6. Step 6: Final answer
    x = 221,776.18

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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.