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Finding the Fourth Proportional to 471,244.89, 706,874.67 and 447,319.11

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Solution

The fourth proportional to 471,244.89, 706,874.67 and 447,319.11 is: 670,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,244.89 : 706,874.67 = 447,319.11 : x
  2. Step 2: Convert to fraction form
    471,244.89/706,874.67 = 447,319.11/x
  3. Step 3: Cross multiply
    471,244.89x = 706,874.67 × 447,319.11
  4. Step 4: Simplify right side
    471,244.89x = 316,198,548,265.94
  5. Step 5: Solve for x
    x = 316,198,548,265.94/471,244.89
  6. Step 6: Final answer
    x = 670,985.63

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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.