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Finding the Fourth Proportional to 299,047.44, 448,459.36 and 121,494.64

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Solution

The fourth proportional to 299,047.44, 448,459.36 and 121,494.64 is: 182,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,047.44 : 448,459.36 = 121,494.64 : x
  2. Step 2: Convert to fraction form
    299,047.44/448,459.36 = 121,494.64/x
  3. Step 3: Cross multiply
    299,047.44x = 448,459.36 × 121,494.64
  4. Step 4: Simplify right side
    299,047.44x = 54,485,408,497.83
  5. Step 5: Solve for x
    x = 54,485,408,497.83/299,047.44
  6. Step 6: Final answer
    x = 182,196.54

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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.