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Finding the Fourth Proportional to 394,605.36, 591,761.88 and 141,817.77

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Solution

The fourth proportional to 394,605.36, 591,761.88 and 141,817.77 is: 212,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,605.36 : 591,761.88 = 141,817.77 : x
  2. Step 2: Convert to fraction form
    394,605.36/591,761.88 = 141,817.77/x
  3. Step 3: Cross multiply
    394,605.36x = 591,761.88 × 141,817.77
  4. Step 4: Simplify right side
    394,605.36x = 83,922,350,192.61
  5. Step 5: Solve for x
    x = 83,922,350,192.61/394,605.36
  6. Step 6: Final answer
    x = 212,674.13

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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.