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Finding the Fourth Proportional to 447,627.40, 671,441.10 and 442,961.80

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Solution

The fourth proportional to 447,627.40, 671,441.10 and 442,961.80 is: 664,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,627.40 : 671,441.10 = 442,961.80 : x
  2. Step 2: Convert to fraction form
    447,627.40/671,441.10 = 442,961.80/x
  3. Step 3: Cross multiply
    447,627.40x = 671,441.10 × 442,961.80
  4. Step 4: Simplify right side
    447,627.40x = 297,422,758,249.98
  5. Step 5: Solve for x
    x = 297,422,758,249.98/447,627.40
  6. Step 6: Final answer
    x = 664,442.70

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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.