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Finding the Fourth Proportional to 378,693.38, 522,643.11 and 217,548.08

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Solution

The fourth proportional to 378,693.38, 522,643.11 and 217,548.08 is: 300,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,693.38 : 522,643.11 = 217,548.08 : x
  2. Step 2: Convert to fraction form
    378,693.38/522,643.11 = 217,548.08/x
  3. Step 3: Cross multiply
    378,693.38x = 522,643.11 × 217,548.08
  4. Step 4: Simplify right side
    378,693.38x = 113,700,005,105.73
  5. Step 5: Solve for x
    x = 113,700,005,105.73/378,693.38
  6. Step 6: Final answer
    x = 300,242.92

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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.