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Finding the Fourth Proportional to 300,971.92, 415,338.96 and 165,004.24

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Solution

The fourth proportional to 300,971.92, 415,338.96 and 165,004.24 is: 227,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,971.92 : 415,338.96 = 165,004.24 : x
  2. Step 2: Convert to fraction form
    300,971.92/415,338.96 = 165,004.24/x
  3. Step 3: Cross multiply
    300,971.92x = 415,338.96 × 165,004.24
  4. Step 4: Simplify right side
    300,971.92x = 68,532,689,437.19
  5. Step 5: Solve for x
    x = 68,532,689,437.19/300,971.92
  6. Step 6: Final answer
    x = 227,704.60

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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.