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Finding the Fourth Proportional to 509,932.20, 764,865.90 and 172,972.20

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Solution

The fourth proportional to 509,932.20, 764,865.90 and 172,972.20 is: 259,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,932.20 : 764,865.90 = 172,972.20 : x
  2. Step 2: Convert to fraction form
    509,932.20/764,865.90 = 172,972.20/x
  3. Step 3: Cross multiply
    509,932.20x = 764,865.90 × 172,972.20
  4. Step 4: Simplify right side
    509,932.20x = 132,300,537,427.98
  5. Step 5: Solve for x
    x = 132,300,537,427.98/509,932.20
  6. Step 6: Final answer
    x = 259,447.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.