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Finding the Fourth Proportional to 378,421.77, 522,226.13 and 206,338.34

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Solution

The fourth proportional to 378,421.77, 522,226.13 and 206,338.34 is: 284,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,421.77 : 522,226.13 = 206,338.34 : x
  2. Step 2: Convert to fraction form
    378,421.77/522,226.13 = 206,338.34/x
  3. Step 3: Cross multiply
    378,421.77x = 522,226.13 × 206,338.34
  4. Step 4: Simplify right side
    378,421.77x = 107,755,269,126.00
  5. Step 5: Solve for x
    x = 107,755,269,126.00/378,421.77
  6. Step 6: Final answer
    x = 284,749.13

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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.