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Finding the Fourth Proportional to 367,633.72, 507,331.38 and 206,491.24

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Solution

The fourth proportional to 367,633.72, 507,331.38 and 206,491.24 is: 284,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,633.72 : 507,331.38 = 206,491.24 : x
  2. Step 2: Convert to fraction form
    367,633.72/507,331.38 = 206,491.24/x
  3. Step 3: Cross multiply
    367,633.72x = 507,331.38 × 206,491.24
  4. Step 4: Simplify right side
    367,633.72x = 104,759,485,747.11
  5. Step 5: Solve for x
    x = 104,759,485,747.11/367,633.72
  6. Step 6: Final answer
    x = 284,956.14

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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.