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Finding the Fourth Proportional to 532,452.72, 798,212.64 and 200,262

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Solution

The fourth proportional to 532,452.72, 798,212.64 and 200,262 is: 300,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,452.72 : 798,212.64 = 200,262 : x
  2. Step 2: Convert to fraction form
    532,452.72/798,212.64 = 200,262/x
  3. Step 3: Cross multiply
    532,452.72x = 798,212.64 × 200,262
  4. Step 4: Simplify right side
    532,452.72x = 159,851,659,711.68
  5. Step 5: Solve for x
    x = 159,851,659,711.68/532,452.72
  6. Step 6: Final answer
    x = 300,217.57

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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.