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Finding the Fourth Proportional to 394,952.59, 592,669.46 and 142,211.94

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Solution

The fourth proportional to 394,952.59, 592,669.46 and 142,211.94 is: 213,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,952.59 : 592,669.46 = 142,211.94 : x
  2. Step 2: Convert to fraction form
    394,952.59/592,669.46 = 142,211.94/x
  3. Step 3: Cross multiply
    394,952.59x = 592,669.46 × 142,211.94
  4. Step 4: Simplify right side
    394,952.59x = 84,284,673,685.35
  5. Step 5: Solve for x
    x = 84,284,673,685.35/394,952.59
  6. Step 6: Final answer
    x = 213,404.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.