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Finding the Fourth Proportional to 301,644.20, 416,274.17 and 165,683.88

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Solution

The fourth proportional to 301,644.20, 416,274.17 and 165,683.88 is: 228,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,644.20 : 416,274.17 = 165,683.88 : x
  2. Step 2: Convert to fraction form
    301,644.20/416,274.17 = 165,683.88/x
  3. Step 3: Cross multiply
    301,644.20x = 416,274.17 × 165,683.88
  4. Step 4: Simplify right side
    301,644.20x = 68,969,918,800.96
  5. Step 5: Solve for x
    x = 68,969,918,800.96/301,644.20
  6. Step 6: Final answer
    x = 228,646.59

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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.