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Finding the Fourth Proportional to 301,685.14, 416,327.24 and 165,714.59

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Solution

The fourth proportional to 301,685.14, 416,327.24 and 165,714.59 is: 228,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,685.14 : 416,327.24 = 165,714.59 : x
  2. Step 2: Convert to fraction form
    301,685.14/416,327.24 = 165,714.59/x
  3. Step 3: Cross multiply
    301,685.14x = 416,327.24 × 165,714.59
  4. Step 4: Simplify right side
    301,685.14x = 68,991,499,337.54
  5. Step 5: Solve for x
    x = 68,991,499,337.54/301,685.14
  6. Step 6: Final answer
    x = 228,687.10

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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.