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Finding the Fourth Proportional to 265,399.26, 397,818.45 and 180,950.08

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Solution

The fourth proportional to 265,399.26, 397,818.45 and 180,950.08 is: 271,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,399.26 : 397,818.45 = 180,950.08 : x
  2. Step 2: Convert to fraction form
    265,399.26/397,818.45 = 180,950.08/x
  3. Step 3: Cross multiply
    265,399.26x = 397,818.45 × 180,950.08
  4. Step 4: Simplify right side
    265,399.26x = 71,985,279,358.43
  5. Step 5: Solve for x
    x = 71,985,279,358.43/265,399.26
  6. Step 6: Final answer
    x = 271,233.91

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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.