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Finding the Fourth Proportional to 300,891.16, 415,234.92 and 164,922.40

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Solution

The fourth proportional to 300,891.16, 415,234.92 and 164,922.40 is: 227,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,891.16 : 415,234.92 = 164,922.40 : x
  2. Step 2: Convert to fraction form
    300,891.16/415,234.92 = 164,922.40/x
  3. Step 3: Cross multiply
    300,891.16x = 415,234.92 × 164,922.40
  4. Step 4: Simplify right side
    300,891.16x = 68,481,539,570.21
  5. Step 5: Solve for x
    x = 68,481,539,570.21/300,891.16
  6. Step 6: Final answer
    x = 227,595.72

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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.