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Finding the Fourth Proportional to 260,623.44, 359,691.84 and 147,424.32

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Solution

The fourth proportional to 260,623.44, 359,691.84 and 147,424.32 is: 203,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,623.44 : 359,691.84 = 147,424.32 : x
  2. Step 2: Convert to fraction form
    260,623.44/359,691.84 = 147,424.32/x
  3. Step 3: Cross multiply
    260,623.44x = 359,691.84 × 147,424.32
  4. Step 4: Simplify right side
    260,623.44x = 53,027,324,921.55
  5. Step 5: Solve for x
    x = 53,027,324,921.55/260,623.44
  6. Step 6: Final answer
    x = 203,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.