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Finding the Fourth Proportional to 686,772.43, 947,805.89 and 400,286.36

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Solution

The fourth proportional to 686,772.43, 947,805.89 and 400,286.36 is: 552,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,772.43 : 947,805.89 = 400,286.36 : x
  2. Step 2: Convert to fraction form
    686,772.43/947,805.89 = 400,286.36/x
  3. Step 3: Cross multiply
    686,772.43x = 947,805.89 × 400,286.36
  4. Step 4: Simplify right side
    686,772.43x = 379,393,770,062.74
  5. Step 5: Solve for x
    x = 379,393,770,062.74/686,772.43
  6. Step 6: Final answer
    x = 552,430.11

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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.