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Finding the Fourth Proportional to 296,996.02, 409,873.17 and 162,860.02

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Solution

The fourth proportional to 296,996.02, 409,873.17 and 162,860.02 is: 224,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996.02 : 409,873.17 = 162,860.02 : x
  2. Step 2: Convert to fraction form
    296,996.02/409,873.17 = 162,860.02/x
  3. Step 3: Cross multiply
    296,996.02x = 409,873.17 × 162,860.02
  4. Step 4: Simplify right side
    296,996.02x = 66,751,952,663.66
  5. Step 5: Solve for x
    x = 66,751,952,663.66/296,996.02
  6. Step 6: Final answer
    x = 224,757.06

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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.