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Finding the Fourth Proportional to 404,457, 558,150.66 and 225,609

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Solution

The fourth proportional to 404,457, 558,150.66 and 225,609 is: 311,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,457 : 558,150.66 = 225,609 : x
  2. Step 2: Convert to fraction form
    404,457/558,150.66 = 225,609/x
  3. Step 3: Cross multiply
    404,457x = 558,150.66 × 225,609
  4. Step 4: Simplify right side
    404,457x = 125,923,812,251.94
  5. Step 5: Solve for x
    x = 125,923,812,251.94/404,457
  6. Step 6: Final answer
    x = 311,340.42

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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.