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Finding the Fourth Proportional to 394,077.92, 543,831.12 and 224,323.04

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Solution

The fourth proportional to 394,077.92, 543,831.12 and 224,323.04 is: 309,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,077.92 : 543,831.12 = 224,323.04 : x
  2. Step 2: Convert to fraction form
    394,077.92/543,831.12 = 224,323.04/x
  3. Step 3: Cross multiply
    394,077.92x = 543,831.12 × 224,323.04
  4. Step 4: Simplify right side
    394,077.92x = 121,993,850,085.01
  5. Step 5: Solve for x
    x = 121,993,850,085.01/394,077.92
  6. Step 6: Final answer
    x = 309,567.84

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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.