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Finding the Fourth Proportional to 721,056, 1,081,586.88 and 195,744

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Solution

The fourth proportional to 721,056, 1,081,586.88 and 195,744 is: 293,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,056 : 1,081,586.88 = 195,744 : x
  2. Step 2: Convert to fraction form
    721,056/1,081,586.88 = 195,744/x
  3. Step 3: Cross multiply
    721,056x = 1,081,586.88 × 195,744
  4. Step 4: Simplify right side
    721,056x = 211,714,142,238.72
  5. Step 5: Solve for x
    x = 211,714,142,238.72/721,056
  6. Step 6: Final answer
    x = 293,616.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.