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Finding the Fourth Proportional to 712,166, 982,789.08 and 394,214

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Solution

The fourth proportional to 712,166, 982,789.08 and 394,214 is: 544,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,166 : 982,789.08 = 394,214 : x
  2. Step 2: Convert to fraction form
    712,166/982,789.08 = 394,214/x
  3. Step 3: Cross multiply
    712,166x = 982,789.08 × 394,214
  4. Step 4: Simplify right side
    712,166x = 387,429,214,383.12
  5. Step 5: Solve for x
    x = 387,429,214,383.12/712,166
  6. Step 6: Final answer
    x = 544,015.32

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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.