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Finding the Fourth Proportional to 273,963.44, 411,028.20 and 194,155.71

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Solution

The fourth proportional to 273,963.44, 411,028.20 and 194,155.71 is: 291,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,963.44 : 411,028.20 = 194,155.71 : x
  2. Step 2: Convert to fraction form
    273,963.44/411,028.20 = 194,155.71/x
  3. Step 3: Cross multiply
    273,963.44x = 411,028.20 × 194,155.71
  4. Step 4: Simplify right side
    273,963.44x = 79,803,471,069.62
  5. Step 5: Solve for x
    x = 79,803,471,069.62/273,963.44
  6. Step 6: Final answer
    x = 291,292.41

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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.