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Finding the Fourth Proportional to 383,625.82, 575,793.64 and 194,219.27

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Solution

The fourth proportional to 383,625.82, 575,793.64 and 194,219.27 is: 291,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,625.82 : 575,793.64 = 194,219.27 : x
  2. Step 2: Convert to fraction form
    383,625.82/575,793.64 = 194,219.27/x
  3. Step 3: Cross multiply
    383,625.82x = 575,793.64 × 194,219.27
  4. Step 4: Simplify right side
    383,625.82x = 111,830,217,552.48
  5. Step 5: Solve for x
    x = 111,830,217,552.48/383,625.82
  6. Step 6: Final answer
    x = 291,508.58

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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.