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Finding the Fourth Proportional to 301,691.64, 416,337.20 and 165,728.35

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Solution

The fourth proportional to 301,691.64, 416,337.20 and 165,728.35 is: 228,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,691.64 : 416,337.20 = 165,728.35 : x
  2. Step 2: Convert to fraction form
    301,691.64/416,337.20 = 165,728.35/x
  3. Step 3: Cross multiply
    301,691.64x = 416,337.20 × 165,728.35
  4. Step 4: Simplify right side
    301,691.64x = 68,998,877,199.62
  5. Step 5: Solve for x
    x = 68,998,877,199.62/301,691.64
  6. Step 6: Final answer
    x = 228,706.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.