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Finding the Fourth Proportional to 299,988.71, 413,984.45 and 164,022.75

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Solution

The fourth proportional to 299,988.71, 413,984.45 and 164,022.75 is: 226,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,988.71 : 413,984.45 = 164,022.75 : x
  2. Step 2: Convert to fraction form
    299,988.71/413,984.45 = 164,022.75/x
  3. Step 3: Cross multiply
    299,988.71x = 413,984.45 × 164,022.75
  4. Step 4: Simplify right side
    299,988.71x = 67,902,867,126.12
  5. Step 5: Solve for x
    x = 67,902,867,126.12/299,988.71
  6. Step 6: Final answer
    x = 226,351.41

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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.