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Finding the Fourth Proportional to 506,223, 759,378.24 and 132,246

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Solution

The fourth proportional to 506,223, 759,378.24 and 132,246 is: 198,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,223 : 759,378.24 = 132,246 : x
  2. Step 2: Convert to fraction form
    506,223/759,378.24 = 132,246/x
  3. Step 3: Cross multiply
    506,223x = 759,378.24 × 132,246
  4. Step 4: Simplify right side
    506,223x = 100,424,734,727.04
  5. Step 5: Solve for x
    x = 100,424,734,727.04/506,223
  6. Step 6: Final answer
    x = 198,380.43

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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.