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Finding the Fourth Proportional to 278,503.83, 384,227.63 and 157,617.39

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Solution

The fourth proportional to 278,503.83, 384,227.63 and 157,617.39 is: 217,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,503.83 : 384,227.63 = 157,617.39 : x
  2. Step 2: Convert to fraction form
    278,503.83/384,227.63 = 157,617.39/x
  3. Step 3: Cross multiply
    278,503.83x = 384,227.63 × 157,617.39
  4. Step 4: Simplify right side
    278,503.83x = 60,560,955,418.40
  5. Step 5: Solve for x
    x = 60,560,955,418.40/278,503.83
  6. Step 6: Final answer
    x = 217,451.07

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1.5x scale

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.