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Finding the Fourth Proportional to 394,582.56, 544,524 and 213,294

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Solution

The fourth proportional to 394,582.56, 544,524 and 213,294 is: 294,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,582.56 : 544,524 = 213,294 : x
  2. Step 2: Convert to fraction form
    394,582.56/544,524 = 213,294/x
  3. Step 3: Cross multiply
    394,582.56x = 544,524 × 213,294
  4. Step 4: Simplify right side
    394,582.56x = 116,143,702,056
  5. Step 5: Solve for x
    x = 116,143,702,056/394,582.56
  6. Step 6: Final answer
    x = 294,345.76

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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.