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Finding the Fourth Proportional to 404,516, 558,232.32 and 225,668

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Solution

The fourth proportional to 404,516, 558,232.32 and 225,668 is: 311,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,516 : 558,232.32 = 225,668 : x
  2. Step 2: Convert to fraction form
    404,516/558,232.32 = 225,668/x
  3. Step 3: Cross multiply
    404,516x = 558,232.32 × 225,668
  4. Step 4: Simplify right side
    404,516x = 125,975,171,189.76
  5. Step 5: Solve for x
    x = 125,975,171,189.76/404,516
  6. Step 6: Final answer
    x = 311,421.97

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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.