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Finding the Fourth Proportional to 383,542.88, 575,222.05 and 117,305.70

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Solution

The fourth proportional to 383,542.88, 575,222.05 and 117,305.70 is: 175,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,542.88 : 575,222.05 = 117,305.70 : x
  2. Step 2: Convert to fraction form
    383,542.88/575,222.05 = 117,305.70/x
  3. Step 3: Cross multiply
    383,542.88x = 575,222.05 × 117,305.70
  4. Step 4: Simplify right side
    383,542.88x = 67,476,825,230.69
  5. Step 5: Solve for x
    x = 67,476,825,230.69/383,542.88
  6. Step 6: Final answer
    x = 175,930.33

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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.