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Finding the Fourth Proportional to 503,513.92, 694,849.20 and 274,072.08

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Solution

The fourth proportional to 503,513.92, 694,849.20 and 274,072.08 is: 378,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,513.92 : 694,849.20 = 274,072.08 : x
  2. Step 2: Convert to fraction form
    503,513.92/694,849.20 = 274,072.08/x
  3. Step 3: Cross multiply
    503,513.92x = 694,849.20 × 274,072.08
  4. Step 4: Simplify right side
    503,513.92x = 190,438,765,530.34
  5. Step 5: Solve for x
    x = 190,438,765,530.34/503,513.92
  6. Step 6: Final answer
    x = 378,219.47

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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.