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Finding the Fourth Proportional to 537,498.24, 806,745.84 and 271,446

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Solution

The fourth proportional to 537,498.24, 806,745.84 and 271,446 is: 407,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,498.24 : 806,745.84 = 271,446 : x
  2. Step 2: Convert to fraction form
    537,498.24/806,745.84 = 271,446/x
  3. Step 3: Cross multiply
    537,498.24x = 806,745.84 × 271,446
  4. Step 4: Simplify right side
    537,498.24x = 218,987,931,284.64
  5. Step 5: Solve for x
    x = 218,987,931,284.64/537,498.24
  6. Step 6: Final answer
    x = 407,420.74

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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.