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Finding the Fourth Proportional to 394,114.81, 591,150.34 and 350,243.59

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Solution

The fourth proportional to 394,114.81, 591,150.34 and 350,243.59 is: 525,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,114.81 : 591,150.34 = 350,243.59 : x
  2. Step 2: Convert to fraction form
    394,114.81/591,150.34 = 350,243.59/x
  3. Step 3: Cross multiply
    394,114.81x = 591,150.34 × 350,243.59
  4. Step 4: Simplify right side
    394,114.81x = 207,046,617,311.32
  5. Step 5: Solve for x
    x = 207,046,617,311.32/394,114.81
  6. Step 6: Final answer
    x = 525,345.95

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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.