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Finding the Fourth Proportional to 299,358.96, 413,085.96 and 165,214.32

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Solution

The fourth proportional to 299,358.96, 413,085.96 and 165,214.32 is: 227,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,358.96 : 413,085.96 = 165,214.32 : x
  2. Step 2: Convert to fraction form
    299,358.96/413,085.96 = 165,214.32/x
  3. Step 3: Cross multiply
    299,358.96x = 413,085.96 × 165,214.32
  4. Step 4: Simplify right side
    299,358.96x = 68,247,715,982.95
  5. Step 5: Solve for x
    x = 68,247,715,982.95/299,358.96
  6. Step 6: Final answer
    x = 227,979.53

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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.