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Finding the Fourth Proportional to 263,597.40, 363,770.52 and 150,430.68

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Solution

The fourth proportional to 263,597.40, 363,770.52 and 150,430.68 is: 207,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,597.40 : 363,770.52 = 150,430.68 : x
  2. Step 2: Convert to fraction form
    263,597.40/363,770.52 = 150,430.68/x
  3. Step 3: Cross multiply
    263,597.40x = 363,770.52 × 150,430.68
  4. Step 4: Simplify right side
    263,597.40x = 54,722,246,687.55
  5. Step 5: Solve for x
    x = 54,722,246,687.55/263,597.40
  6. Step 6: Final answer
    x = 207,597.82

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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.