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Finding the Fourth Proportional to 482,082.12, 722,831.49 and 215,793

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Solution

The fourth proportional to 482,082.12, 722,831.49 and 215,793 is: 323,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,082.12 : 722,831.49 = 215,793 : x
  2. Step 2: Convert to fraction form
    482,082.12/722,831.49 = 215,793/x
  3. Step 3: Cross multiply
    482,082.12x = 722,831.49 × 215,793
  4. Step 4: Simplify right side
    482,082.12x = 155,981,975,721.57
  5. Step 5: Solve for x
    x = 155,981,975,721.57/482,082.12
  6. Step 6: Final answer
    x = 323,558.93

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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.