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Finding the Fourth Proportional to 274,334.65, 411,575.92 and 114,357.42

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Solution

The fourth proportional to 274,334.65, 411,575.92 and 114,357.42 is: 171,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,334.65 : 411,575.92 = 114,357.42 : x
  2. Step 2: Convert to fraction form
    274,334.65/411,575.92 = 114,357.42/x
  3. Step 3: Cross multiply
    274,334.65x = 411,575.92 × 114,357.42
  4. Step 4: Simplify right side
    274,334.65x = 47,066,760,059.43
  5. Step 5: Solve for x
    x = 47,066,760,059.43/274,334.65
  6. Step 6: Final answer
    x = 171,566.95

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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.