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Finding the Fourth Proportional to 381,230.14, 572,031.54 and 269,627.56

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Solution

The fourth proportional to 381,230.14, 572,031.54 and 269,627.56 is: 404,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,230.14 : 572,031.54 = 269,627.56 : x
  2. Step 2: Convert to fraction form
    381,230.14/572,031.54 = 269,627.56/x
  3. Step 3: Cross multiply
    381,230.14x = 572,031.54 × 269,627.56
  4. Step 4: Simplify right side
    381,230.14x = 154,235,468,373.24
  5. Step 5: Solve for x
    x = 154,235,468,373.24/381,230.14
  6. Step 6: Final answer
    x = 404,573.12

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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.