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Finding the Fourth Proportional to 286,018.46, 394,762.92 and 165,179.42

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Solution

The fourth proportional to 286,018.46, 394,762.92 and 165,179.42 is: 227,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,018.46 : 394,762.92 = 165,179.42 : x
  2. Step 2: Convert to fraction form
    286,018.46/394,762.92 = 165,179.42/x
  3. Step 3: Cross multiply
    286,018.46x = 394,762.92 × 165,179.42
  4. Step 4: Simplify right side
    286,018.46x = 65,206,710,163.11
  5. Step 5: Solve for x
    x = 65,206,710,163.11/286,018.46
  6. Step 6: Final answer
    x = 227,980.77

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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.