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Finding the Fourth Proportional to 383,634.08, 575,806 and 194,227.52

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Solution

The fourth proportional to 383,634.08, 575,806 and 194,227.52 is: 291,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,634.08 : 575,806 = 194,227.52 : x
  2. Step 2: Convert to fraction form
    383,634.08/575,806 = 194,227.52/x
  3. Step 3: Cross multiply
    383,634.08x = 575,806 × 194,227.52
  4. Step 4: Simplify right side
    383,634.08x = 111,837,371,381.12
  5. Step 5: Solve for x
    x = 111,837,371,381.12/383,634.08
  6. Step 6: Final answer
    x = 291,520.95

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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.