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Finding the Fourth Proportional to 305,714.40, 458,636.40 and 92,464.80

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Solution

The fourth proportional to 305,714.40, 458,636.40 and 92,464.80 is: 138,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,714.40 : 458,636.40 = 92,464.80 : x
  2. Step 2: Convert to fraction form
    305,714.40/458,636.40 = 92,464.80/x
  3. Step 3: Cross multiply
    305,714.40x = 458,636.40 × 92,464.80
  4. Step 4: Simplify right side
    305,714.40x = 42,407,722,998.72
  5. Step 5: Solve for x
    x = 42,407,722,998.72/305,714.40
  6. Step 6: Final answer
    x = 138,716.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.