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Finding the Fourth Proportional to 327,815.32, 452,304.64 and 200,444.44

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Solution

The fourth proportional to 327,815.32, 452,304.64 and 200,444.44 is: 276,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,815.32 : 452,304.64 = 200,444.44 : x
  2. Step 2: Convert to fraction form
    327,815.32/452,304.64 = 200,444.44/x
  3. Step 3: Cross multiply
    327,815.32x = 452,304.64 × 200,444.44
  4. Step 4: Simplify right side
    327,815.32x = 90,661,950,274.20
  5. Step 5: Solve for x
    x = 90,661,950,274.20/327,815.32
  6. Step 6: Final answer
    x = 276,564.10

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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.