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Finding the Fourth Proportional to 265,407.05, 397,175.22 and 165,614.24

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Solution

The fourth proportional to 265,407.05, 397,175.22 and 165,614.24 is: 247,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,407.05 : 397,175.22 = 165,614.24 : x
  2. Step 2: Convert to fraction form
    265,407.05/397,175.22 = 165,614.24/x
  3. Step 3: Cross multiply
    265,407.05x = 397,175.22 × 165,614.24
  4. Step 4: Simplify right side
    265,407.05x = 65,777,870,221.26
  5. Step 5: Solve for x
    x = 65,777,870,221.26/265,407.05
  6. Step 6: Final answer
    x = 247,837.69

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1.5x scale

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.