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Finding the Fourth Proportional to 383,911.68, 575,867.52 and 196,803.84

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Solution

The fourth proportional to 383,911.68, 575,867.52 and 196,803.84 is: 295,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,911.68 : 575,867.52 = 196,803.84 : x
  2. Step 2: Convert to fraction form
    383,911.68/575,867.52 = 196,803.84/x
  3. Step 3: Cross multiply
    383,911.68x = 575,867.52 × 196,803.84
  4. Step 4: Simplify right side
    383,911.68x = 113,332,939,267.28
  5. Step 5: Solve for x
    x = 113,332,939,267.28/383,911.68
  6. Step 6: Final answer
    x = 295,205.76

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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.