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Finding the Fourth Proportional to 697,800.42, 962,849.43 and 411,375.92

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Solution

The fourth proportional to 697,800.42, 962,849.43 and 411,375.92 is: 567,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,800.42 : 962,849.43 = 411,375.92 : x
  2. Step 2: Convert to fraction form
    697,800.42/962,849.43 = 411,375.92/x
  3. Step 3: Cross multiply
    697,800.42x = 962,849.43 × 411,375.92
  4. Step 4: Simplify right side
    697,800.42x = 396,093,065,273.48
  5. Step 5: Solve for x
    x = 396,093,065,273.48/697,800.42
  6. Step 6: Final answer
    x = 567,630.88

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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.