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Finding the Fourth Proportional to 349,783.60, 524,286.60 and 192,125.20

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Solution

The fourth proportional to 349,783.60, 524,286.60 and 192,125.20 is: 287,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,783.60 : 524,286.60 = 192,125.20 : x
  2. Step 2: Convert to fraction form
    349,783.60/524,286.60 = 192,125.20/x
  3. Step 3: Cross multiply
    349,783.60x = 524,286.60 × 192,125.20
  4. Step 4: Simplify right side
    349,783.60x = 100,728,667,882.32
  5. Step 5: Solve for x
    x = 100,728,667,882.32/349,783.60
  6. Step 6: Final answer
    x = 287,974.24

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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.