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Finding the Fourth Proportional to 296,847.28, 409,644.66 and 160,877.44

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Solution

The fourth proportional to 296,847.28, 409,644.66 and 160,877.44 is: 222,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,847.28 : 409,644.66 = 160,877.44 : x
  2. Step 2: Convert to fraction form
    296,847.28/409,644.66 = 160,877.44/x
  3. Step 3: Cross multiply
    296,847.28x = 409,644.66 × 160,877.44
  4. Step 4: Simplify right side
    296,847.28x = 65,902,584,210.47
  5. Step 5: Solve for x
    x = 65,902,584,210.47/296,847.28
  6. Step 6: Final answer
    x = 222,008.38

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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.