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Finding the Fourth Proportional to 278,618.61, 384,486.28 and 157,771.38

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Solution

The fourth proportional to 278,618.61, 384,486.28 and 157,771.38 is: 217,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,618.61 : 384,486.28 = 157,771.38 : x
  2. Step 2: Convert to fraction form
    278,618.61/384,486.28 = 157,771.38/x
  3. Step 3: Cross multiply
    278,618.61x = 384,486.28 × 157,771.38
  4. Step 4: Simplify right side
    278,618.61x = 60,660,930,986.67
  5. Step 5: Solve for x
    x = 60,660,930,986.67/278,618.61
  6. Step 6: Final answer
    x = 217,720.31

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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.