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Finding the Fourth Proportional to 299,924.83, 449,796.40 and 157,693.47

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Solution

The fourth proportional to 299,924.83, 449,796.40 and 157,693.47 is: 236,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,924.83 : 449,796.40 = 157,693.47 : x
  2. Step 2: Convert to fraction form
    299,924.83/449,796.40 = 157,693.47/x
  3. Step 3: Cross multiply
    299,924.83x = 449,796.40 × 157,693.47
  4. Step 4: Simplify right side
    299,924.83x = 70,929,955,109.51
  5. Step 5: Solve for x
    x = 70,929,955,109.51/299,924.83
  6. Step 6: Final answer
    x = 236,492.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.