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Finding the Fourth Proportional to 278,617.61, 384,484.90 and 157,770.38

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Solution

The fourth proportional to 278,617.61, 384,484.90 and 157,770.38 is: 217,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,617.61 : 384,484.90 = 157,770.38 : x
  2. Step 2: Convert to fraction form
    278,617.61/384,484.90 = 157,770.38/x
  3. Step 3: Cross multiply
    278,617.61x = 384,484.90 × 157,770.38
  4. Step 4: Simplify right side
    278,617.61x = 60,660,326,460.41
  5. Step 5: Solve for x
    x = 60,660,326,460.41/278,617.61
  6. Step 6: Final answer
    x = 217,718.92

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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.