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Finding the Fourth Proportional to 323,776.78, 446,703.19 and 187,761.14

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Solution

The fourth proportional to 323,776.78, 446,703.19 and 187,761.14 is: 259,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,776.78 : 446,703.19 = 187,761.14 : x
  2. Step 2: Convert to fraction form
    323,776.78/446,703.19 = 187,761.14/x
  3. Step 3: Cross multiply
    323,776.78x = 446,703.19 × 187,761.14
  4. Step 4: Simplify right side
    323,776.78x = 83,873,499,168.25
  5. Step 5: Solve for x
    x = 83,873,499,168.25/323,776.78
  6. Step 6: Final answer
    x = 259,047.30

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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.