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Finding the Fourth Proportional to 342,105.32, 513,241.65 and 241,100.43

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Solution

The fourth proportional to 342,105.32, 513,241.65 and 241,100.43 is: 361,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,105.32 : 513,241.65 = 241,100.43 : x
  2. Step 2: Convert to fraction form
    342,105.32/513,241.65 = 241,100.43/x
  3. Step 3: Cross multiply
    342,105.32x = 513,241.65 × 241,100.43
  4. Step 4: Simplify right side
    342,105.32x = 123,742,782,508.91
  5. Step 5: Solve for x
    x = 123,742,782,508.91/342,105.32
  6. Step 6: Final answer
    x = 361,709.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.