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Finding the Fourth Proportional to 509,441.85, 764,115.92 and 172,443.98

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Solution

The fourth proportional to 509,441.85, 764,115.92 and 172,443.98 is: 258,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,441.85 : 764,115.92 = 172,443.98 : x
  2. Step 2: Convert to fraction form
    509,441.85/764,115.92 = 172,443.98/x
  3. Step 3: Cross multiply
    509,441.85x = 764,115.92 × 172,443.98
  4. Step 4: Simplify right side
    509,441.85x = 131,767,192,767.56
  5. Step 5: Solve for x
    x = 131,767,192,767.56/509,441.85
  6. Step 6: Final answer
    x = 258,650.11

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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.