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Finding the Fourth Proportional to 378,359, 522,138.96 and 208,599.20

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Solution

The fourth proportional to 378,359, 522,138.96 and 208,599.20 is: 287,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,359 : 522,138.96 = 208,599.20 : x
  2. Step 2: Convert to fraction form
    378,359/522,138.96 = 208,599.20/x
  3. Step 3: Cross multiply
    378,359x = 522,138.96 × 208,599.20
  4. Step 4: Simplify right side
    378,359x = 108,917,769,344.83
  5. Step 5: Solve for x
    x = 108,917,769,344.83/378,359
  6. Step 6: Final answer
    x = 287,868.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.