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Finding the Fourth Proportional to 512,252.21, 706,250.94 and 420,031.76

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Solution

The fourth proportional to 512,252.21, 706,250.94 and 420,031.76 is: 579,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,252.21 : 706,250.94 = 420,031.76 : x
  2. Step 2: Convert to fraction form
    512,252.21/706,250.94 = 420,031.76/x
  3. Step 3: Cross multiply
    512,252.21x = 706,250.94 × 420,031.76
  4. Step 4: Simplify right side
    512,252.21x = 296,647,825,329.85
  5. Step 5: Solve for x
    x = 296,647,825,329.85/512,252.21
  6. Step 6: Final answer
    x = 579,105.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.