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Finding the Fourth Proportional to 299,282.90, 413,016.30 and 234,829.37

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Solution

The fourth proportional to 299,282.90, 413,016.30 and 234,829.37 is: 324,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,282.90 : 413,016.30 = 234,829.37 : x
  2. Step 2: Convert to fraction form
    299,282.90/413,016.30 = 234,829.37/x
  3. Step 3: Cross multiply
    299,282.90x = 413,016.30 × 234,829.37
  4. Step 4: Simplify right side
    299,282.90x = 96,988,358,561.27
  5. Step 5: Solve for x
    x = 96,988,358,561.27/299,282.90
  6. Step 6: Final answer
    x = 324,069.17

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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.