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Finding the Fourth Proportional to 363,768.88, 501,975.24 and 200,418.16

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Solution

The fourth proportional to 363,768.88, 501,975.24 and 200,418.16 is: 276,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,768.88 : 501,975.24 = 200,418.16 : x
  2. Step 2: Convert to fraction form
    363,768.88/501,975.24 = 200,418.16/x
  3. Step 3: Cross multiply
    363,768.88x = 501,975.24 × 200,418.16
  4. Step 4: Simplify right side
    363,768.88x = 100,604,953,966.36
  5. Step 5: Solve for x
    x = 100,604,953,966.36/363,768.88
  6. Step 6: Final answer
    x = 276,562.84

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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.