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Finding the Fourth Proportional to 299,357.32, 413,109.30 and 165,212.68

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Solution

The fourth proportional to 299,357.32, 413,109.30 and 165,212.68 is: 227,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,357.32 : 413,109.30 = 165,212.68 : x
  2. Step 2: Convert to fraction form
    299,357.32/413,109.30 = 165,212.68/x
  3. Step 3: Cross multiply
    299,357.32x = 413,109.30 × 165,212.68
  4. Step 4: Simplify right side
    299,357.32x = 68,250,894,585.92
  5. Step 5: Solve for x
    x = 68,250,894,585.92/299,357.32
  6. Step 6: Final answer
    x = 227,991.40

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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.