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Finding the Fourth Proportional to 524,758.44, 787,720.38 and 271,971.24

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Solution

The fourth proportional to 524,758.44, 787,720.38 and 271,971.24 is: 408,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,758.44 : 787,720.38 = 271,971.24 : x
  2. Step 2: Convert to fraction form
    524,758.44/787,720.38 = 271,971.24/x
  3. Step 3: Cross multiply
    524,758.44x = 787,720.38 × 271,971.24
  4. Step 4: Simplify right side
    524,758.44x = 214,237,288,521.87
  5. Step 5: Solve for x
    x = 214,237,288,521.87/524,758.44
  6. Step 6: Final answer
    x = 408,258.87

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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.