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Finding the Fourth Proportional to 274,374.24, 411,568.65 and 74,698.71

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Solution

The fourth proportional to 274,374.24, 411,568.65 and 74,698.71 is: 112,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,374.24 : 411,568.65 = 74,698.71 : x
  2. Step 2: Convert to fraction form
    274,374.24/411,568.65 = 74,698.71/x
  3. Step 3: Cross multiply
    274,374.24x = 411,568.65 × 74,698.71
  4. Step 4: Simplify right side
    274,374.24x = 30,743,644,800.10
  5. Step 5: Solve for x
    x = 30,743,644,800.10/274,374.24
  6. Step 6: Final answer
    x = 112,050.04

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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.