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Finding the Fourth Proportional to 394,071.40, 591,107.10 and 236,477.80

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Solution

The fourth proportional to 394,071.40, 591,107.10 and 236,477.80 is: 354,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,071.40 : 591,107.10 = 236,477.80 : x
  2. Step 2: Convert to fraction form
    394,071.40/591,107.10 = 236,477.80/x
  3. Step 3: Cross multiply
    394,071.40x = 591,107.10 × 236,477.80
  4. Step 4: Simplify right side
    394,071.40x = 139,783,706,572.38
  5. Step 5: Solve for x
    x = 139,783,706,572.38/394,071.40
  6. Step 6: Final answer
    x = 354,716.70

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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.