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Finding the Fourth Proportional to 404,467.50, 558,165.16 and 225,619.50

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Solution

The fourth proportional to 404,467.50, 558,165.16 and 225,619.50 is: 311,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,467.50 : 558,165.16 = 225,619.50 : x
  2. Step 2: Convert to fraction form
    404,467.50/558,165.16 = 225,619.50/x
  3. Step 3: Cross multiply
    404,467.50x = 558,165.16 × 225,619.50
  4. Step 4: Simplify right side
    404,467.50x = 125,932,944,316.62
  5. Step 5: Solve for x
    x = 125,932,944,316.62/404,467.50
  6. Step 6: Final answer
    x = 311,354.92

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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.