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Finding the Fourth Proportional to 301,470.87, 416,034.68 and 165,517.35

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Solution

The fourth proportional to 301,470.87, 416,034.68 and 165,517.35 is: 228,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,470.87 : 416,034.68 = 165,517.35 : x
  2. Step 2: Convert to fraction form
    301,470.87/416,034.68 = 165,517.35/x
  3. Step 3: Cross multiply
    301,470.87x = 416,034.68 × 165,517.35
  4. Step 4: Simplify right side
    301,470.87x = 68,860,956,914.11
  5. Step 5: Solve for x
    x = 68,860,956,914.11/301,470.87
  6. Step 6: Final answer
    x = 228,416.62

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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.