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Finding the Fourth Proportional to 297,658.35, 410,775.91 and 161,692.25

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Solution

The fourth proportional to 297,658.35, 410,775.91 and 161,692.25 is: 223,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,658.35 : 410,775.91 = 161,692.25 : x
  2. Step 2: Convert to fraction form
    297,658.35/410,775.91 = 161,692.25/x
  3. Step 3: Cross multiply
    297,658.35x = 410,775.91 × 161,692.25
  4. Step 4: Simplify right side
    297,658.35x = 66,419,278,675.59
  5. Step 5: Solve for x
    x = 66,419,278,675.59/297,658.35
  6. Step 6: Final answer
    x = 223,139.31

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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.