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Finding the Fourth Proportional to 381,388.14, 571,860.66 and 144,601.64

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Solution

The fourth proportional to 381,388.14, 571,860.66 and 144,601.64 is: 216,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,388.14 : 571,860.66 = 144,601.64 : x
  2. Step 2: Convert to fraction form
    381,388.14/571,860.66 = 144,601.64/x
  3. Step 3: Cross multiply
    381,388.14x = 571,860.66 × 144,601.64
  4. Step 4: Simplify right side
    381,388.14x = 82,691,989,287.48
  5. Step 5: Solve for x
    x = 82,691,989,287.48/381,388.14
  6. Step 6: Final answer
    x = 216,818.46

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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.