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Finding the Fourth Proportional to 370,523.62, 511,322.73 and 200,757.75

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Solution

The fourth proportional to 370,523.62, 511,322.73 and 200,757.75 is: 277,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,523.62 : 511,322.73 = 200,757.75 : x
  2. Step 2: Convert to fraction form
    370,523.62/511,322.73 = 200,757.75/x
  3. Step 3: Cross multiply
    370,523.62x = 511,322.73 × 200,757.75
  4. Step 4: Simplify right side
    370,523.62x = 102,652,000,798.66
  5. Step 5: Solve for x
    x = 102,652,000,798.66/370,523.62
  6. Step 6: Final answer
    x = 277,045.77

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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.