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Finding the Fourth Proportional to 472,797.80, 709,196.70 and 449,469.80

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Solution

The fourth proportional to 472,797.80, 709,196.70 and 449,469.80 is: 674,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,797.80 : 709,196.70 = 449,469.80 : x
  2. Step 2: Convert to fraction form
    472,797.80/709,196.70 = 449,469.80/x
  3. Step 3: Cross multiply
    472,797.80x = 709,196.70 × 449,469.80
  4. Step 4: Simplify right side
    472,797.80x = 318,762,498,909.66
  5. Step 5: Solve for x
    x = 318,762,498,909.66/472,797.80
  6. Step 6: Final answer
    x = 674,204.70

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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.