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Finding the Fourth Proportional to 638,020.84, 957,218.10 and 188,753.62

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Solution

The fourth proportional to 638,020.84, 957,218.10 and 188,753.62 is: 283,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,020.84 : 957,218.10 = 188,753.62 : x
  2. Step 2: Convert to fraction form
    638,020.84/957,218.10 = 188,753.62/x
  3. Step 3: Cross multiply
    638,020.84x = 957,218.10 × 188,753.62
  4. Step 4: Simplify right side
    638,020.84x = 180,678,381,504.52
  5. Step 5: Solve for x
    x = 180,678,381,504.52/638,020.84
  6. Step 6: Final answer
    x = 283,185.71

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Why These Related Problems?

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