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Finding the Fourth Proportional to 278,424.96, 384,222.33 and 157,589.16

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Solution

The fourth proportional to 278,424.96, 384,222.33 and 157,589.16 is: 217,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,424.96 : 384,222.33 = 157,589.16 : x
  2. Step 2: Convert to fraction form
    278,424.96/384,222.33 = 157,589.16/x
  3. Step 3: Cross multiply
    278,424.96x = 384,222.33 × 157,589.16
  4. Step 4: Simplify right side
    278,424.96x = 60,549,274,237.94
  5. Step 5: Solve for x
    x = 60,549,274,237.94/278,424.96
  6. Step 6: Final answer
    x = 217,470.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.