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Finding the Fourth Proportional to 301,252.56, 415,714.50 and 165,283.44

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Solution

The fourth proportional to 301,252.56, 415,714.50 and 165,283.44 is: 228,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,252.56 : 415,714.50 = 165,283.44 : x
  2. Step 2: Convert to fraction form
    301,252.56/415,714.50 = 165,283.44/x
  3. Step 3: Cross multiply
    301,252.56x = 415,714.50 × 165,283.44
  4. Step 4: Simplify right side
    301,252.56x = 68,710,722,617.88
  5. Step 5: Solve for x
    x = 68,710,722,617.88/301,252.56
  6. Step 6: Final answer
    x = 228,083.45

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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.