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Finding the Fourth Proportional to 299,668, 413,541.84 and 165,532

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Solution

The fourth proportional to 299,668, 413,541.84 and 165,532 is: 228,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,668 : 413,541.84 = 165,532 : x
  2. Step 2: Convert to fraction form
    299,668/413,541.84 = 165,532/x
  3. Step 3: Cross multiply
    299,668x = 413,541.84 × 165,532
  4. Step 4: Simplify right side
    299,668x = 68,454,407,858.88
  5. Step 5: Solve for x
    x = 68,454,407,858.88/299,668
  6. Step 6: Final answer
    x = 228,434.16

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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.