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Finding the Fourth Proportional to 323,928.72, 446,790.15 and 280,831.23

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Solution

The fourth proportional to 323,928.72, 446,790.15 and 280,831.23 is: 387,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,928.72 : 446,790.15 = 280,831.23 : x
  2. Step 2: Convert to fraction form
    323,928.72/446,790.15 = 280,831.23/x
  3. Step 3: Cross multiply
    323,928.72x = 446,790.15 × 280,831.23
  4. Step 4: Simplify right side
    323,928.72x = 125,472,627,376.38
  5. Step 5: Solve for x
    x = 125,472,627,376.38/323,928.72
  6. Step 6: Final answer
    x = 387,346.41

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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.