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Finding the Fourth Proportional to 300,280.72, 414,381 and 164,314.12

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Solution

The fourth proportional to 300,280.72, 414,381 and 164,314.12 is: 226,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,280.72 : 414,381 = 164,314.12 : x
  2. Step 2: Convert to fraction form
    300,280.72/414,381 = 164,314.12/x
  3. Step 3: Cross multiply
    300,280.72x = 414,381 × 164,314.12
  4. Step 4: Simplify right side
    300,280.72x = 68,088,649,359.72
  5. Step 5: Solve for x
    x = 68,088,649,359.72/300,280.72
  6. Step 6: Final answer
    x = 226,749.99

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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.