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Finding the Fourth Proportional to 381,362.50, 524,414.01 and 330,974.02

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Solution

The fourth proportional to 381,362.50, 524,414.01 and 330,974.02 is: 455,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,362.50 : 524,414.01 = 330,974.02 : x
  2. Step 2: Convert to fraction form
    381,362.50/524,414.01 = 330,974.02/x
  3. Step 3: Cross multiply
    381,362.50x = 524,414.01 × 330,974.02
  4. Step 4: Simplify right side
    381,362.50x = 173,567,413,034.02
  5. Step 5: Solve for x
    x = 173,567,413,034.02/381,362.50
  6. Step 6: Final answer
    x = 455,124.49

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Why These Related Problems?

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