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Finding the Fourth Proportional to 278,632.53, 384,509.27 and 157,773.44

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Solution

The fourth proportional to 278,632.53, 384,509.27 and 157,773.44 is: 217,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,632.53 : 384,509.27 = 157,773.44 : x
  2. Step 2: Convert to fraction form
    278,632.53/384,509.27 = 157,773.44/x
  3. Step 3: Cross multiply
    278,632.53x = 384,509.27 × 157,773.44
  4. Step 4: Simplify right side
    278,632.53x = 60,665,347,528.38
  5. Step 5: Solve for x
    x = 60,665,347,528.38/278,632.53
  6. Step 6: Final answer
    x = 217,725.29

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Why These Related Problems?

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