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Finding the Fourth Proportional to 494,214.62, 741,040.85 and 194,532.71

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Solution

The fourth proportional to 494,214.62, 741,040.85 and 194,532.71 is: 291,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,214.62 : 741,040.85 = 194,532.71 : x
  2. Step 2: Convert to fraction form
    494,214.62/741,040.85 = 194,532.71/x
  3. Step 3: Cross multiply
    494,214.62x = 741,040.85 × 194,532.71
  4. Step 4: Simplify right side
    494,214.62x = 144,156,681,552.33
  5. Step 5: Solve for x
    x = 144,156,681,552.33/494,214.62
  6. Step 6: Final answer
    x = 291,688.42

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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.