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Finding the Fourth Proportional to 468,176.54, 645,910.77 and 307,250.26

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Solution

The fourth proportional to 468,176.54, 645,910.77 and 307,250.26 is: 423,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,176.54 : 645,910.77 = 307,250.26 : x
  2. Step 2: Convert to fraction form
    468,176.54/645,910.77 = 307,250.26/x
  3. Step 3: Cross multiply
    468,176.54x = 645,910.77 × 307,250.26
  4. Step 4: Simplify right side
    468,176.54x = 198,456,251,556.71
  5. Step 5: Solve for x
    x = 198,456,251,556.71/468,176.54
  6. Step 6: Final answer
    x = 423,891.92

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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.