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Finding the Fourth Proportional to 1,192,942, 1,646,259.96 and 656,398

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Solution

The fourth proportional to 1,192,942, 1,646,259.96 and 656,398 is: 905,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,942 : 1,646,259.96 = 656,398 : x
  2. Step 2: Convert to fraction form
    1,192,942/1,646,259.96 = 656,398/x
  3. Step 3: Cross multiply
    1,192,942x = 1,646,259.96 × 656,398
  4. Step 4: Simplify right side
    1,192,942x = 1,080,601,745,224.08
  5. Step 5: Solve for x
    x = 1,080,601,745,224.08/1,192,942
  6. Step 6: Final answer
    x = 905,829.24

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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.