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Finding the Fourth Proportional to 296,754.34, 409,541.09 and 167,648.04

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Solution

The fourth proportional to 296,754.34, 409,541.09 and 167,648.04 is: 231,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,754.34 : 409,541.09 = 167,648.04 : x
  2. Step 2: Convert to fraction form
    296,754.34/409,541.09 = 167,648.04/x
  3. Step 3: Cross multiply
    296,754.34x = 409,541.09 × 167,648.04
  4. Step 4: Simplify right side
    296,754.34x = 68,658,761,037.96
  5. Step 5: Solve for x
    x = 68,658,761,037.96/296,754.34
  6. Step 6: Final answer
    x = 231,365.65

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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.