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Finding the Fourth Proportional to 306,796.14, 423,509.31 and 206,252.46

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Solution

The fourth proportional to 306,796.14, 423,509.31 and 206,252.46 is: 284,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,796.14 : 423,509.31 = 206,252.46 : x
  2. Step 2: Convert to fraction form
    306,796.14/423,509.31 = 206,252.46/x
  3. Step 3: Cross multiply
    306,796.14x = 423,509.31 × 206,252.46
  4. Step 4: Simplify right side
    306,796.14x = 87,349,837,020.40
  5. Step 5: Solve for x
    x = 87,349,837,020.40/306,796.14
  6. Step 6: Final answer
    x = 284,716.22

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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.