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Finding the Fourth Proportional to 278,409.60, 417,614.40 and 100,922.40

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Solution

The fourth proportional to 278,409.60, 417,614.40 and 100,922.40 is: 151,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,409.60 : 417,614.40 = 100,922.40 : x
  2. Step 2: Convert to fraction form
    278,409.60/417,614.40 = 100,922.40/x
  3. Step 3: Cross multiply
    278,409.60x = 417,614.40 × 100,922.40
  4. Step 4: Simplify right side
    278,409.60x = 42,146,647,522.56
  5. Step 5: Solve for x
    x = 42,146,647,522.56/278,409.60
  6. Step 6: Final answer
    x = 151,383.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.