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Finding the Fourth Proportional to 300,967.92, 415,333.44 and 165,000.24

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Solution

The fourth proportional to 300,967.92, 415,333.44 and 165,000.24 is: 227,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,967.92 : 415,333.44 = 165,000.24 : x
  2. Step 2: Convert to fraction form
    300,967.92/415,333.44 = 165,000.24/x
  3. Step 3: Cross multiply
    300,967.92x = 415,333.44 × 165,000.24
  4. Step 4: Simplify right side
    300,967.92x = 68,530,117,280.03
  5. Step 5: Solve for x
    x = 68,530,117,280.03/300,967.92
  6. Step 6: Final answer
    x = 227,699.08

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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.