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Finding the Fourth Proportional to 252,996.97, 348,909.82 and 209,908.24

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Solution

The fourth proportional to 252,996.97, 348,909.82 and 209,908.24 is: 289,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,996.97 : 348,909.82 = 209,908.24 : x
  2. Step 2: Convert to fraction form
    252,996.97/348,909.82 = 209,908.24/x
  3. Step 3: Cross multiply
    252,996.97x = 348,909.82 × 209,908.24
  4. Step 4: Simplify right side
    252,996.97x = 73,239,044,775.30
  5. Step 5: Solve for x
    x = 73,239,044,775.30/252,996.97
  6. Step 6: Final answer
    x = 289,485.86

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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.