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Finding the Fourth Proportional to 278,224.74, 383,958.83 and 157,363.66

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Solution

The fourth proportional to 278,224.74, 383,958.83 and 157,363.66 is: 217,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,224.74 : 383,958.83 = 157,363.66 : x
  2. Step 2: Convert to fraction form
    278,224.74/383,958.83 = 157,363.66/x
  3. Step 3: Cross multiply
    278,224.74x = 383,958.83 × 157,363.66
  4. Step 4: Simplify right side
    278,224.74x = 60,421,167,651.48
  5. Step 5: Solve for x
    x = 60,421,167,651.48/278,224.74
  6. Step 6: Final answer
    x = 217,166.77

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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.