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Finding the Fourth Proportional to 278,464.21, 417,629.40 and 128,560.48

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Solution

The fourth proportional to 278,464.21, 417,629.40 and 128,560.48 is: 192,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464.21 : 417,629.40 = 128,560.48 : x
  2. Step 2: Convert to fraction form
    278,464.21/417,629.40 = 128,560.48/x
  3. Step 3: Cross multiply
    278,464.21x = 417,629.40 × 128,560.48
  4. Step 4: Simplify right side
    278,464.21x = 53,690,636,126.11
  5. Step 5: Solve for x
    x = 53,690,636,126.11/278,464.21
  6. Step 6: Final answer
    x = 192,809.83

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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.