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Finding the Fourth Proportional to 465,831.41, 642,767.13 and 261,853.97

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Solution

The fourth proportional to 465,831.41, 642,767.13 and 261,853.97 is: 361,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,831.41 : 642,767.13 = 261,853.97 : x
  2. Step 2: Convert to fraction form
    465,831.41/642,767.13 = 261,853.97/x
  3. Step 3: Cross multiply
    465,831.41x = 642,767.13 × 261,853.97
  4. Step 4: Simplify right side
    465,831.41x = 168,311,121,562.17
  5. Step 5: Solve for x
    x = 168,311,121,562.17/465,831.41
  6. Step 6: Final answer
    x = 361,313.38

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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.