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Finding the Fourth Proportional to 278,007.20, 416,913.60 and 144,843.20

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Solution

The fourth proportional to 278,007.20, 416,913.60 and 144,843.20 is: 217,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,007.20 : 416,913.60 = 144,843.20 : x
  2. Step 2: Convert to fraction form
    278,007.20/416,913.60 = 144,843.20/x
  3. Step 3: Cross multiply
    278,007.20x = 416,913.60 × 144,843.20
  4. Step 4: Simplify right side
    278,007.20x = 60,387,099,947.52
  5. Step 5: Solve for x
    x = 60,387,099,947.52/278,007.20
  6. Step 6: Final answer
    x = 217,214.16

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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.