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Finding the Fourth Proportional to 347,794.29, 479,947.47 and 194,831.47

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Solution

The fourth proportional to 347,794.29, 479,947.47 and 194,831.47 is: 268,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,794.29 : 479,947.47 = 194,831.47 : x
  2. Step 2: Convert to fraction form
    347,794.29/479,947.47 = 194,831.47/x
  3. Step 3: Cross multiply
    347,794.29x = 479,947.47 × 194,831.47
  4. Step 4: Simplify right side
    347,794.29x = 93,508,869,172.39
  5. Step 5: Solve for x
    x = 93,508,869,172.39/347,794.29
  6. Step 6: Final answer
    x = 268,862.58

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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.