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Finding the Fourth Proportional to 327,704.16, 452,265.76 and 200,464.40

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Solution

The fourth proportional to 327,704.16, 452,265.76 and 200,464.40 is: 276,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,704.16 : 452,265.76 = 200,464.40 : x
  2. Step 2: Convert to fraction form
    327,704.16/452,265.76 = 200,464.40/x
  3. Step 3: Cross multiply
    327,704.16x = 452,265.76 × 200,464.40
  4. Step 4: Simplify right side
    327,704.16x = 90,663,184,218.94
  5. Step 5: Solve for x
    x = 90,663,184,218.94/327,704.16
  6. Step 6: Final answer
    x = 276,661.68

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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.