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Finding the Fourth Proportional to 699,874.88, 965,857.92 and 393,971

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Solution

The fourth proportional to 699,874.88, 965,857.92 and 393,971 is: 543,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,874.88 : 965,857.92 = 393,971 : x
  2. Step 2: Convert to fraction form
    699,874.88/965,857.92 = 393,971/x
  3. Step 3: Cross multiply
    699,874.88x = 965,857.92 × 393,971
  4. Step 4: Simplify right side
    699,874.88x = 380,520,010,600.32
  5. Step 5: Solve for x
    x = 380,520,010,600.32/699,874.88
  6. Step 6: Final answer
    x = 543,697.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.