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Finding the Fourth Proportional to 513,813.65, 769,723.49 and 378,632.48

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Solution

The fourth proportional to 513,813.65, 769,723.49 and 378,632.48 is: 567,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,813.65 : 769,723.49 = 378,632.48 : x
  2. Step 2: Convert to fraction form
    513,813.65/769,723.49 = 378,632.48/x
  3. Step 3: Cross multiply
    513,813.65x = 769,723.49 × 378,632.48
  4. Step 4: Simplify right side
    513,813.65x = 291,442,311,030.92
  5. Step 5: Solve for x
    x = 291,442,311,030.92/513,813.65
  6. Step 6: Final answer
    x = 567,214.04

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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.