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Finding the Fourth Proportional to 699,896.89, 965,857.93 and 409,564.27

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Solution

The fourth proportional to 699,896.89, 965,857.93 and 409,564.27 is: 565,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,896.89 : 965,857.93 = 409,564.27 : x
  2. Step 2: Convert to fraction form
    699,896.89/965,857.93 = 409,564.27/x
  3. Step 3: Cross multiply
    699,896.89x = 965,857.93 × 409,564.27
  4. Step 4: Simplify right side
    699,896.89x = 395,580,898,024.16
  5. Step 5: Solve for x
    x = 395,580,898,024.16/699,896.89
  6. Step 6: Final answer
    x = 565,198.82

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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.