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Finding the Fourth Proportional to 265,426.62, 397,204.47 and 165,633.78

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Solution

The fourth proportional to 265,426.62, 397,204.47 and 165,633.78 is: 247,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,426.62 : 397,204.47 = 165,633.78 : x
  2. Step 2: Convert to fraction form
    265,426.62/397,204.47 = 165,633.78/x
  3. Step 3: Cross multiply
    265,426.62x = 397,204.47 × 165,633.78
  4. Step 4: Simplify right side
    265,426.62x = 65,790,477,799.00
  5. Step 5: Solve for x
    x = 65,790,477,799.00/265,426.62
  6. Step 6: Final answer
    x = 247,866.92

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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.