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Finding the Fourth Proportional to 378,132, 521,805.36 and 206,050.56

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Solution

The fourth proportional to 378,132, 521,805.36 and 206,050.56 is: 284,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,132 : 521,805.36 = 206,050.56 : x
  2. Step 2: Convert to fraction form
    378,132/521,805.36 = 206,050.56/x
  3. Step 3: Cross multiply
    378,132x = 521,805.36 × 206,050.56
  4. Step 4: Simplify right side
    378,132x = 107,518,286,639.00
  5. Step 5: Solve for x
    x = 107,518,286,639.00/378,132
  6. Step 6: Final answer
    x = 284,340.62

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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.