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Finding the Fourth Proportional to 299,325.56, 448,971.92 and 180,965.12

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Solution

The fourth proportional to 299,325.56, 448,971.92 and 180,965.12 is: 271,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,325.56 : 448,971.92 = 180,965.12 : x
  2. Step 2: Convert to fraction form
    299,325.56/448,971.92 = 180,965.12/x
  3. Step 3: Cross multiply
    299,325.56x = 448,971.92 × 180,965.12
  4. Step 4: Simplify right side
    299,325.56x = 81,248,254,229.75
  5. Step 5: Solve for x
    x = 81,248,254,229.75/299,325.56
  6. Step 6: Final answer
    x = 271,437.75

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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.