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Finding the Fourth Proportional to 262,351.50, 393,593.67 and 75,363

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Solution

The fourth proportional to 262,351.50, 393,593.67 and 75,363 is: 113,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,351.50 : 393,593.67 = 75,363 : x
  2. Step 2: Convert to fraction form
    262,351.50/393,593.67 = 75,363/x
  3. Step 3: Cross multiply
    262,351.50x = 393,593.67 × 75,363
  4. Step 4: Simplify right side
    262,351.50x = 29,662,399,752.21
  5. Step 5: Solve for x
    x = 29,662,399,752.21/262,351.50
  6. Step 6: Final answer
    x = 113,063.58

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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.