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Finding the Fourth Proportional to 499,097.44, 748,708.17 and 195,452.37

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Solution

The fourth proportional to 499,097.44, 748,708.17 and 195,452.37 is: 293,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,097.44 : 748,708.17 = 195,452.37 : x
  2. Step 2: Convert to fraction form
    499,097.44/748,708.17 = 195,452.37/x
  3. Step 3: Cross multiply
    499,097.44x = 748,708.17 × 195,452.37
  4. Step 4: Simplify right side
    499,097.44x = 146,336,786,264.86
  5. Step 5: Solve for x
    x = 146,336,786,264.86/499,097.44
  6. Step 6: Final answer
    x = 293,202.84

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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.