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Finding the Fourth Proportional to 404,968.50, 558,856.53 and 226,120.50

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Solution

The fourth proportional to 404,968.50, 558,856.53 and 226,120.50 is: 312,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,968.50 : 558,856.53 = 226,120.50 : x
  2. Step 2: Convert to fraction form
    404,968.50/558,856.53 = 226,120.50/x
  3. Step 3: Cross multiply
    404,968.50x = 558,856.53 × 226,120.50
  4. Step 4: Simplify right side
    404,968.50x = 126,368,917,991.87
  5. Step 5: Solve for x
    x = 126,368,917,991.87/404,968.50
  6. Step 6: Final answer
    x = 312,046.29

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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.