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Finding the Fourth Proportional to 278,321.60, 417,579.60 and 100,834.40

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Solution

The fourth proportional to 278,321.60, 417,579.60 and 100,834.40 is: 151,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,321.60 : 417,579.60 = 100,834.40 : x
  2. Step 2: Convert to fraction form
    278,321.60/417,579.60 = 100,834.40/x
  3. Step 3: Cross multiply
    278,321.60x = 417,579.60 × 100,834.40
  4. Step 4: Simplify right side
    278,321.60x = 42,106,388,418.24
  5. Step 5: Solve for x
    x = 42,106,388,418.24/278,321.60
  6. Step 6: Final answer
    x = 151,286.82

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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.