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Finding the Fourth Proportional to 300,972.92, 415,340.34 and 165,005.24

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Solution

The fourth proportional to 300,972.92, 415,340.34 and 165,005.24 is: 227,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,972.92 : 415,340.34 = 165,005.24 : x
  2. Step 2: Convert to fraction form
    300,972.92/415,340.34 = 165,005.24/x
  3. Step 3: Cross multiply
    300,972.92x = 415,340.34 × 165,005.24
  4. Step 4: Simplify right side
    300,972.92x = 68,533,332,483.38
  5. Step 5: Solve for x
    x = 68,533,332,483.38/300,972.92
  6. Step 6: Final answer
    x = 227,705.98

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1.5x scale

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.