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Finding the Fourth Proportional to 274,568.67, 411,695.37 and 146,327.13

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Solution

The fourth proportional to 274,568.67, 411,695.37 and 146,327.13 is: 219,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,568.67 : 411,695.37 = 146,327.13 : x
  2. Step 2: Convert to fraction form
    274,568.67/411,695.37 = 146,327.13/x
  3. Step 3: Cross multiply
    274,568.67x = 411,695.37 × 146,327.13
  4. Step 4: Simplify right side
    274,568.67x = 60,242,201,926.39
  5. Step 5: Solve for x
    x = 60,242,201,926.39/274,568.67
  6. Step 6: Final answer
    x = 219,406.69

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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.