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Finding the Fourth Proportional to 323,065.38, 445,820.30 and 179,821.74

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Solution

The fourth proportional to 323,065.38, 445,820.30 and 179,821.74 is: 248,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,065.38 : 445,820.30 = 179,821.74 : x
  2. Step 2: Convert to fraction form
    323,065.38/445,820.30 = 179,821.74/x
  3. Step 3: Cross multiply
    323,065.38x = 445,820.30 × 179,821.74
  4. Step 4: Simplify right side
    323,065.38x = 80,168,182,073.32
  5. Step 5: Solve for x
    x = 80,168,182,073.32/323,065.38
  6. Step 6: Final answer
    x = 248,148.48

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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.