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Finding the Fourth Proportional to 298,524.98, 411,831.33 and 201,697.67

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Solution

The fourth proportional to 298,524.98, 411,831.33 and 201,697.67 is: 278,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,524.98 : 411,831.33 = 201,697.67 : x
  2. Step 2: Convert to fraction form
    298,524.98/411,831.33 = 201,697.67/x
  3. Step 3: Cross multiply
    298,524.98x = 411,831.33 × 201,697.67
  4. Step 4: Simplify right side
    298,524.98x = 83,065,419,694.00
  5. Step 5: Solve for x
    x = 83,065,419,694.00/298,524.98
  6. Step 6: Final answer
    x = 278,252.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.