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Finding the Fourth Proportional to 361,363.87, 498,675.54 and 200,218.33

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Solution

The fourth proportional to 361,363.87, 498,675.54 and 200,218.33 is: 276,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,363.87 : 498,675.54 = 200,218.33 : x
  2. Step 2: Convert to fraction form
    361,363.87/498,675.54 = 200,218.33/x
  3. Step 3: Cross multiply
    361,363.87x = 498,675.54 × 200,218.33
  4. Step 4: Simplify right side
    361,363.87x = 99,843,983,830.65
  5. Step 5: Solve for x
    x = 99,843,983,830.65/361,363.87
  6. Step 6: Final answer
    x = 276,297.64

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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.