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Finding the Fourth Proportional to 361,047.72, 498,261.43 and 199,902.77

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Solution

The fourth proportional to 361,047.72, 498,261.43 and 199,902.77 is: 275,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,047.72 : 498,261.43 = 199,902.77 : x
  2. Step 2: Convert to fraction form
    361,047.72/498,261.43 = 199,902.77/x
  3. Step 3: Cross multiply
    361,047.72x = 498,261.43 × 199,902.77
  4. Step 4: Simplify right side
    361,047.72x = 99,603,839,668.21
  5. Step 5: Solve for x
    x = 99,603,839,668.21/361,047.72
  6. Step 6: Final answer
    x = 275,874.44

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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.