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Finding the Fourth Proportional to 299,668.16, 413,540.80 and 165,532.16

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Solution

The fourth proportional to 299,668.16, 413,540.80 and 165,532.16 is: 228,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,668.16 : 413,540.80 = 165,532.16 : x
  2. Step 2: Convert to fraction form
    299,668.16/413,540.80 = 165,532.16/x
  3. Step 3: Cross multiply
    299,668.16x = 413,540.80 × 165,532.16
  4. Step 4: Simplify right side
    299,668.16x = 68,454,301,872.13
  5. Step 5: Solve for x
    x = 68,454,301,872.13/299,668.16
  6. Step 6: Final answer
    x = 228,433.68

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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.