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Finding the Fourth Proportional to 299,325.14, 448,597.85 and 121,624.41

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Solution

The fourth proportional to 299,325.14, 448,597.85 and 121,624.41 is: 182,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,325.14 : 448,597.85 = 121,624.41 : x
  2. Step 2: Convert to fraction form
    299,325.14/448,597.85 = 121,624.41/x
  3. Step 3: Cross multiply
    299,325.14x = 448,597.85 × 121,624.41
  4. Step 4: Simplify right side
    299,325.14x = 54,560,446,999.25
  5. Step 5: Solve for x
    x = 54,560,446,999.25/299,325.14
  6. Step 6: Final answer
    x = 182,278.20

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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.