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Finding the Fourth Proportional to 370,616.85, 511,451.01 and 200,850.98

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Solution

The fourth proportional to 370,616.85, 511,451.01 and 200,850.98 is: 277,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,616.85 : 511,451.01 = 200,850.98 : x
  2. Step 2: Convert to fraction form
    370,616.85/511,451.01 = 200,850.98/x
  3. Step 3: Cross multiply
    370,616.85x = 511,451.01 × 200,850.98
  4. Step 4: Simplify right side
    370,616.85x = 102,725,434,023.24
  5. Step 5: Solve for x
    x = 102,725,434,023.24/370,616.85
  6. Step 6: Final answer
    x = 277,174.21

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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.