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Finding the Fourth Proportional to 278,889, 419,850.96 and 254,088.42

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Solution

The fourth proportional to 278,889, 419,850.96 and 254,088.42 is: 382,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,889 : 419,850.96 = 254,088.42 : x
  2. Step 2: Convert to fraction form
    278,889/419,850.96 = 254,088.42/x
  3. Step 3: Cross multiply
    278,889x = 419,850.96 × 254,088.42
  4. Step 4: Simplify right side
    278,889x = 106,679,267,061.88
  5. Step 5: Solve for x
    x = 106,679,267,061.88/278,889
  6. Step 6: Final answer
    x = 382,515.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.