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Finding the Fourth Proportional to 252,716.63, 348,464.63 and 206,632.49

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Solution

The fourth proportional to 252,716.63, 348,464.63 and 206,632.49 is: 284,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,716.63 : 348,464.63 = 206,632.49 : x
  2. Step 2: Convert to fraction form
    252,716.63/348,464.63 = 206,632.49/x
  3. Step 3: Cross multiply
    252,716.63x = 348,464.63 × 206,632.49
  4. Step 4: Simplify right side
    252,716.63x = 72,004,111,398.34
  5. Step 5: Solve for x
    x = 72,004,111,398.34/252,716.63
  6. Step 6: Final answer
    x = 284,920.36

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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.