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Finding the Fourth Proportional to 589,632, 884,586.24 and 195,648

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Solution

The fourth proportional to 589,632, 884,586.24 and 195,648 is: 293,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,632 : 884,586.24 = 195,648 : x
  2. Step 2: Convert to fraction form
    589,632/884,586.24 = 195,648/x
  3. Step 3: Cross multiply
    589,632x = 884,586.24 × 195,648
  4. Step 4: Simplify right side
    589,632x = 173,067,528,683.52
  5. Step 5: Solve for x
    x = 173,067,528,683.52/589,632
  6. Step 6: Final answer
    x = 293,517.87

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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.