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Finding the Fourth Proportional to 278,462.20, 384,277.59 and 157,601.32

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Solution

The fourth proportional to 278,462.20, 384,277.59 and 157,601.32 is: 217,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,462.20 : 384,277.59 = 157,601.32 : x
  2. Step 2: Convert to fraction form
    278,462.20/384,277.59 = 157,601.32/x
  3. Step 3: Cross multiply
    278,462.20x = 384,277.59 × 157,601.32
  4. Step 4: Simplify right side
    278,462.20x = 60,562,655,430.42
  5. Step 5: Solve for x
    x = 60,562,655,430.42/278,462.20
  6. Step 6: Final answer
    x = 217,489.68

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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.