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Finding the Fourth Proportional to 511,353.88, 705,692.52 and 285,001

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Solution

The fourth proportional to 511,353.88, 705,692.52 and 285,001 is: 393,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,353.88 : 705,692.52 = 285,001 : x
  2. Step 2: Convert to fraction form
    511,353.88/705,692.52 = 285,001/x
  3. Step 3: Cross multiply
    511,353.88x = 705,692.52 × 285,001
  4. Step 4: Simplify right side
    511,353.88x = 201,123,073,892.52
  5. Step 5: Solve for x
    x = 201,123,073,892.52/511,353.88
  6. Step 6: Final answer
    x = 393,314.85

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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.