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Finding the Fourth Proportional to 378,712.67, 567,668.66 and 165,293.46

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Solution

The fourth proportional to 378,712.67, 567,668.66 and 165,293.46 is: 247,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,712.67 : 567,668.66 = 165,293.46 : x
  2. Step 2: Convert to fraction form
    378,712.67/567,668.66 = 165,293.46/x
  3. Step 3: Cross multiply
    378,712.67x = 567,668.66 × 165,293.46
  4. Step 4: Simplify right side
    378,712.67x = 93,831,916,118.50
  5. Step 5: Solve for x
    x = 93,831,916,118.50/378,712.67
  6. Step 6: Final answer
    x = 247,765.46

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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.