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Finding the Fourth Proportional to 301,046.90, 415,444.55 and 165,083.20

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Solution

The fourth proportional to 301,046.90, 415,444.55 and 165,083.20 is: 227,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,046.90 : 415,444.55 = 165,083.20 : x
  2. Step 2: Convert to fraction form
    301,046.90/415,444.55 = 165,083.20/x
  3. Step 3: Cross multiply
    301,046.90x = 415,444.55 × 165,083.20
  4. Step 4: Simplify right side
    301,046.90x = 68,582,913,872.53
  5. Step 5: Solve for x
    x = 68,582,913,872.53/301,046.90
  6. Step 6: Final answer
    x = 227,814.72

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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.