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Finding the Fourth Proportional to 394,231.80, 591,347.70 and 144,881.40

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Solution

The fourth proportional to 394,231.80, 591,347.70 and 144,881.40 is: 217,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,231.80 : 591,347.70 = 144,881.40 : x
  2. Step 2: Convert to fraction form
    394,231.80/591,347.70 = 144,881.40/x
  3. Step 3: Cross multiply
    394,231.80x = 591,347.70 × 144,881.40
  4. Step 4: Simplify right side
    394,231.80x = 85,675,282,662.78
  5. Step 5: Solve for x
    x = 85,675,282,662.78/394,231.80
  6. Step 6: Final answer
    x = 217,322.10

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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.