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Finding the Fourth Proportional to 361,216.04, 498,506.62 and 200,086.08

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Solution

The fourth proportional to 361,216.04, 498,506.62 and 200,086.08 is: 276,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,216.04 : 498,506.62 = 200,086.08 : x
  2. Step 2: Convert to fraction form
    361,216.04/498,506.62 = 200,086.08/x
  3. Step 3: Cross multiply
    361,216.04x = 498,506.62 × 200,086.08
  4. Step 4: Simplify right side
    361,216.04x = 99,744,235,449.85
  5. Step 5: Solve for x
    x = 99,744,235,449.85/361,216.04
  6. Step 6: Final answer
    x = 276,134.57

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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.