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Finding the Fourth Proportional to 361,362.87, 498,674.16 and 200,217.33

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Solution

The fourth proportional to 361,362.87, 498,674.16 and 200,217.33 is: 276,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,362.87 : 498,674.16 = 200,217.33 : x
  2. Step 2: Convert to fraction form
    361,362.87/498,674.16 = 200,217.33/x
  3. Step 3: Cross multiply
    361,362.87x = 498,674.16 × 200,217.33
  4. Step 4: Simplify right side
    361,362.87x = 99,843,208,855.19
  5. Step 5: Solve for x
    x = 99,843,208,855.19/361,362.87
  6. Step 6: Final answer
    x = 276,296.26

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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.