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Finding the Fourth Proportional to 378,227.34, 567,425.12 and 165,029.81

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Solution

The fourth proportional to 378,227.34, 567,425.12 and 165,029.81 is: 247,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,227.34 : 567,425.12 = 165,029.81 : x
  2. Step 2: Convert to fraction form
    378,227.34/567,425.12 = 165,029.81/x
  3. Step 3: Cross multiply
    378,227.34x = 567,425.12 × 165,029.81
  4. Step 4: Simplify right side
    378,227.34x = 93,642,056,080.55
  5. Step 5: Solve for x
    x = 93,642,056,080.55/378,227.34
  6. Step 6: Final answer
    x = 247,581.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.