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Finding the Fourth Proportional to 300,980.92, 415,358.36 and 165,027.28

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Solution

The fourth proportional to 300,980.92, 415,358.36 and 165,027.28 is: 227,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,980.92 : 415,358.36 = 165,027.28 : x
  2. Step 2: Convert to fraction form
    300,980.92/415,358.36 = 165,027.28/x
  3. Step 3: Cross multiply
    300,980.92x = 415,358.36 × 165,027.28
  4. Step 4: Simplify right side
    300,980.92x = 68,545,460,376.06
  5. Step 5: Solve for x
    x = 68,545,460,376.06/300,980.92
  6. Step 6: Final answer
    x = 227,740.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.