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Finding the Fourth Proportional to 383,909.40, 575,604.90 and 204,024.60

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Solution

The fourth proportional to 383,909.40, 575,604.90 and 204,024.60 is: 305,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,909.40 : 575,604.90 = 204,024.60 : x
  2. Step 2: Convert to fraction form
    383,909.40/575,604.90 = 204,024.60/x
  3. Step 3: Cross multiply
    383,909.40x = 575,604.90 × 204,024.60
  4. Step 4: Simplify right side
    383,909.40x = 117,437,559,480.54
  5. Step 5: Solve for x
    x = 117,437,559,480.54/383,909.40
  6. Step 6: Final answer
    x = 305,899.15

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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.