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Finding the Fourth Proportional to 265,227.39, 397,864.67 and 75,684.15

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Solution

The fourth proportional to 265,227.39, 397,864.67 and 75,684.15 is: 113,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,227.39 : 397,864.67 = 75,684.15 : x
  2. Step 2: Convert to fraction form
    265,227.39/397,864.67 = 75,684.15/x
  3. Step 3: Cross multiply
    265,227.39x = 397,864.67 × 75,684.15
  4. Step 4: Simplify right side
    265,227.39x = 30,112,048,985.56
  5. Step 5: Solve for x
    x = 30,112,048,985.56/265,227.39
  6. Step 6: Final answer
    x = 113,532.95

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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.