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Finding the Fourth Proportional to 281,193.16, 387,642.88 and 200,480.56

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Solution

The fourth proportional to 281,193.16, 387,642.88 and 200,480.56 is: 276,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,193.16 : 387,642.88 = 200,480.56 : x
  2. Step 2: Convert to fraction form
    281,193.16/387,642.88 = 200,480.56/x
  3. Step 3: Cross multiply
    281,193.16x = 387,642.88 × 200,480.56
  4. Step 4: Simplify right side
    281,193.16x = 77,714,861,662.41
  5. Step 5: Solve for x
    x = 77,714,861,662.41/281,193.16
  6. Step 6: Final answer
    x = 276,375.36

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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.