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Finding the Fourth Proportional to 232,407.28, 320,792.16 and 200,914.48

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Solution

The fourth proportional to 232,407.28, 320,792.16 and 200,914.48 is: 277,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,407.28 : 320,792.16 = 200,914.48 : x
  2. Step 2: Convert to fraction form
    232,407.28/320,792.16 = 200,914.48/x
  3. Step 3: Cross multiply
    232,407.28x = 320,792.16 × 200,914.48
  4. Step 4: Simplify right side
    232,407.28x = 64,451,790,014.48
  5. Step 5: Solve for x
    x = 64,451,790,014.48/232,407.28
  6. Step 6: Final answer
    x = 277,322.60

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1.5x scale

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.