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Finding the Fourth Proportional to 301,898.80, 416,630.32 and 165,937.60

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Solution

The fourth proportional to 301,898.80, 416,630.32 and 165,937.60 is: 228,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,898.80 : 416,630.32 = 165,937.60 : x
  2. Step 2: Convert to fraction form
    301,898.80/416,630.32 = 165,937.60/x
  3. Step 3: Cross multiply
    301,898.80x = 416,630.32 × 165,937.60
  4. Step 4: Simplify right side
    301,898.80x = 69,134,635,388.03
  5. Step 5: Solve for x
    x = 69,134,635,388.03/301,898.80
  6. Step 6: Final answer
    x = 228,999.37

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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.