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Finding the Fourth Proportional to 422,831.98, 633,003.81 and 282,241.90

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Solution

The fourth proportional to 422,831.98, 633,003.81 and 282,241.90 is: 422,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,831.98 : 633,003.81 = 282,241.90 : x
  2. Step 2: Convert to fraction form
    422,831.98/633,003.81 = 282,241.90/x
  3. Step 3: Cross multiply
    422,831.98x = 633,003.81 × 282,241.90
  4. Step 4: Simplify right side
    422,831.98x = 178,660,198,041.64
  5. Step 5: Solve for x
    x = 178,660,198,041.64/422,831.98
  6. Step 6: Final answer
    x = 422,532.37

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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.