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Finding the Fourth Proportional to 422,654.82, 583,277.97 and 231,668.22

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Solution

The fourth proportional to 422,654.82, 583,277.97 and 231,668.22 is: 319,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,654.82 : 583,277.97 = 231,668.22 : x
  2. Step 2: Convert to fraction form
    422,654.82/583,277.97 = 231,668.22/x
  3. Step 3: Cross multiply
    422,654.82x = 583,277.97 × 231,668.22
  4. Step 4: Simplify right side
    422,654.82x = 135,126,969,075.11
  5. Step 5: Solve for x
    x = 135,126,969,075.11/422,654.82
  6. Step 6: Final answer
    x = 319,709.99

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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.