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Finding the Fourth Proportional to 278,202.92, 384,068.88 and 217,644.88

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Solution

The fourth proportional to 278,202.92, 384,068.88 and 217,644.88 is: 300,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,202.92 : 384,068.88 = 217,644.88 : x
  2. Step 2: Convert to fraction form
    278,202.92/384,068.88 = 217,644.88/x
  3. Step 3: Cross multiply
    278,202.92x = 384,068.88 × 217,644.88
  4. Step 4: Simplify right side
    278,202.92x = 83,590,625,299.33
  5. Step 5: Solve for x
    x = 83,590,625,299.33/278,202.92
  6. Step 6: Final answer
    x = 300,466.38

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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.