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Finding the Fourth Proportional to 274,463.73, 411,941.61 and 229,764.87

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Solution

The fourth proportional to 274,463.73, 411,941.61 and 229,764.87 is: 344,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,463.73 : 411,941.61 = 229,764.87 : x
  2. Step 2: Convert to fraction form
    274,463.73/411,941.61 = 229,764.87/x
  3. Step 3: Cross multiply
    274,463.73x = 411,941.61 × 229,764.87
  4. Step 4: Simplify right side
    274,463.73x = 94,649,710,469.24
  5. Step 5: Solve for x
    x = 94,649,710,469.24/274,463.73
  6. Step 6: Final answer
    x = 344,853.25

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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.