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Finding the Fourth Proportional to 649,849.80, 974,429.10 and 275,449.80

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Solution

The fourth proportional to 649,849.80, 974,429.10 and 275,449.80 is: 413,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,849.80 : 974,429.10 = 275,449.80 : x
  2. Step 2: Convert to fraction form
    649,849.80/974,429.10 = 275,449.80/x
  3. Step 3: Cross multiply
    649,849.80x = 974,429.10 × 275,449.80
  4. Step 4: Simplify right side
    649,849.80x = 268,406,300,709.18
  5. Step 5: Solve for x
    x = 268,406,300,709.18/649,849.80
  6. Step 6: Final answer
    x = 413,028.21

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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.