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Finding the Fourth Proportional to 299,984.40, 413,978.76 and 172,684.80

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Solution

The fourth proportional to 299,984.40, 413,978.76 and 172,684.80 is: 238,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,984.40 : 413,978.76 = 172,684.80 : x
  2. Step 2: Convert to fraction form
    299,984.40/413,978.76 = 172,684.80/x
  3. Step 3: Cross multiply
    299,984.40x = 413,978.76 × 172,684.80
  4. Step 4: Simplify right side
    299,984.40x = 71,487,839,374.85
  5. Step 5: Solve for x
    x = 71,487,839,374.85/299,984.40
  6. Step 6: Final answer
    x = 238,305.19

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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.