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Finding the Fourth Proportional to 301,646.22, 416,276.78 and 165,692.73

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Solution

The fourth proportional to 301,646.22, 416,276.78 and 165,692.73 is: 228,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,646.22 : 416,276.78 = 165,692.73 : x
  2. Step 2: Convert to fraction form
    301,646.22/416,276.78 = 165,692.73/x
  3. Step 3: Cross multiply
    301,646.22x = 416,276.78 × 165,692.73
  4. Step 4: Simplify right side
    301,646.22x = 68,974,035,285.35
  5. Step 5: Solve for x
    x = 68,974,035,285.35/301,646.22
  6. Step 6: Final answer
    x = 228,658.71

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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.