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Finding the Fourth Proportional to 523,938, 723,034.44 and 285,474

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Solution

The fourth proportional to 523,938, 723,034.44 and 285,474 is: 393,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,938 : 723,034.44 = 285,474 : x
  2. Step 2: Convert to fraction form
    523,938/723,034.44 = 285,474/x
  3. Step 3: Cross multiply
    523,938x = 723,034.44 × 285,474
  4. Step 4: Simplify right side
    523,938x = 206,407,533,724.56
  5. Step 5: Solve for x
    x = 206,407,533,724.56/523,938
  6. Step 6: Final answer
    x = 393,954.12

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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.