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Finding the Fourth Proportional to 296,999.02, 409,877.31 and 162,863.02

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Solution

The fourth proportional to 296,999.02, 409,877.31 and 162,863.02 is: 224,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,999.02 : 409,877.31 = 162,863.02 : x
  2. Step 2: Convert to fraction form
    296,999.02/409,877.31 = 162,863.02/x
  3. Step 3: Cross multiply
    296,999.02x = 409,877.31 × 162,863.02
  4. Step 4: Simplify right side
    296,999.02x = 66,753,856,536.08
  5. Step 5: Solve for x
    x = 66,753,856,536.08/296,999.02
  6. Step 6: Final answer
    x = 224,761.20

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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.