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Finding the Fourth Proportional to 347,794.79, 479,948.16 and 194,831.97

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Solution

The fourth proportional to 347,794.79, 479,948.16 and 194,831.97 is: 268,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,794.79 : 479,948.16 = 194,831.97 : x
  2. Step 2: Convert to fraction form
    347,794.79/479,948.16 = 194,831.97/x
  3. Step 3: Cross multiply
    347,794.79x = 479,948.16 × 194,831.97
  4. Step 4: Simplify right side
    347,794.79x = 93,509,244,536.52
  5. Step 5: Solve for x
    x = 93,509,244,536.52/347,794.79
  6. Step 6: Final answer
    x = 268,863.27

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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.