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Finding the Fourth Proportional to 334,992, 462,288.96 and 184,089

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Solution

The fourth proportional to 334,992, 462,288.96 and 184,089 is: 254,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,992 : 462,288.96 = 184,089 : x
  2. Step 2: Convert to fraction form
    334,992/462,288.96 = 184,089/x
  3. Step 3: Cross multiply
    334,992x = 462,288.96 × 184,089
  4. Step 4: Simplify right side
    334,992x = 85,102,312,357.44
  5. Step 5: Solve for x
    x = 85,102,312,357.44/334,992
  6. Step 6: Final answer
    x = 254,042.82

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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.