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Finding the Fourth Proportional to 404,525, 558,244.74 and 225,677

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Solution

The fourth proportional to 404,525, 558,244.74 and 225,677 is: 311,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,525 : 558,244.74 = 225,677 : x
  2. Step 2: Convert to fraction form
    404,525/558,244.74 = 225,677/x
  3. Step 3: Cross multiply
    404,525x = 558,244.74 × 225,677
  4. Step 4: Simplify right side
    404,525x = 125,982,998,188.98
  5. Step 5: Solve for x
    x = 125,982,998,188.98/404,525
  6. Step 6: Final answer
    x = 311,434.39

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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.