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Finding the Fourth Proportional to 419,109.80, 578,451.24 and 237,838.61

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Solution

The fourth proportional to 419,109.80, 578,451.24 and 237,838.61 is: 328,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,109.80 : 578,451.24 = 237,838.61 : x
  2. Step 2: Convert to fraction form
    419,109.80/578,451.24 = 237,838.61/x
  3. Step 3: Cross multiply
    419,109.80x = 578,451.24 × 237,838.61
  4. Step 4: Simplify right side
    419,109.80x = 137,578,040,320.50
  5. Step 5: Solve for x
    x = 137,578,040,320.50/419,109.80
  6. Step 6: Final answer
    x = 328,262.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.