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Finding the Fourth Proportional to 361,406.91, 498,757.40 and 200,261.57

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Solution

The fourth proportional to 361,406.91, 498,757.40 and 200,261.57 is: 276,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,406.91 : 498,757.40 = 200,261.57 : x
  2. Step 2: Convert to fraction form
    361,406.91/498,757.40 = 200,261.57/x
  3. Step 3: Cross multiply
    361,406.91x = 498,757.40 × 200,261.57
  4. Step 4: Simplify right side
    361,406.91x = 99,881,937,229.00
  5. Step 5: Solve for x
    x = 99,881,937,229.00/361,406.91
  6. Step 6: Final answer
    x = 276,369.75

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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.