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Finding the Fourth Proportional to 301,256.20, 415,745.49 and 165,296.08

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Solution

The fourth proportional to 301,256.20, 415,745.49 and 165,296.08 is: 228,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,256.20 : 415,745.49 = 165,296.08 : x
  2. Step 2: Convert to fraction form
    301,256.20/415,745.49 = 165,296.08/x
  3. Step 3: Cross multiply
    301,256.20x = 415,745.49 × 165,296.08
  4. Step 4: Simplify right side
    301,256.20x = 68,721,099,774.68
  5. Step 5: Solve for x
    x = 68,721,099,774.68/301,256.20
  6. Step 6: Final answer
    x = 228,115.14

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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.