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Finding the Fourth Proportional to 367,372.96, 506,967.24 and 204,020.80

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Solution

The fourth proportional to 367,372.96, 506,967.24 and 204,020.80 is: 281,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,372.96 : 506,967.24 = 204,020.80 : x
  2. Step 2: Convert to fraction form
    367,372.96/506,967.24 = 204,020.80/x
  3. Step 3: Cross multiply
    367,372.96x = 506,967.24 × 204,020.80
  4. Step 4: Simplify right side
    367,372.96x = 103,431,861,878.59
  5. Step 5: Solve for x
    x = 103,431,861,878.59/367,372.96
  6. Step 6: Final answer
    x = 281,544.57

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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.