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Finding the Fourth Proportional to 286,011.48, 394,753.28 and 165,172.44

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Solution

The fourth proportional to 286,011.48, 394,753.28 and 165,172.44 is: 227,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011.48 : 394,753.28 = 165,172.44 : x
  2. Step 2: Convert to fraction form
    286,011.48/394,753.28 = 165,172.44/x
  3. Step 3: Cross multiply
    286,011.48x = 394,753.28 × 165,172.44
  4. Step 4: Simplify right side
    286,011.48x = 65,202,362,455.60
  5. Step 5: Solve for x
    x = 65,202,362,455.60/286,011.48
  6. Step 6: Final answer
    x = 227,971.14

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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.