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Finding the Fourth Proportional to 301,871.62, 416,592.82 and 165,910.39

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Solution

The fourth proportional to 301,871.62, 416,592.82 and 165,910.39 is: 228,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,871.62 : 416,592.82 = 165,910.39 : x
  2. Step 2: Convert to fraction form
    301,871.62/416,592.82 = 165,910.39/x
  3. Step 3: Cross multiply
    301,871.62x = 416,592.82 × 165,910.39
  4. Step 4: Simplify right side
    301,871.62x = 69,117,077,237.40
  5. Step 5: Solve for x
    x = 69,117,077,237.40/301,871.62
  6. Step 6: Final answer
    x = 228,961.83

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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.