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Finding the Fourth Proportional to 537,716.56, 807,073.02 and 271,664.56

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Solution

The fourth proportional to 537,716.56, 807,073.02 and 271,664.56 is: 407,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,716.56 : 807,073.02 = 271,664.56 : x
  2. Step 2: Convert to fraction form
    537,716.56/807,073.02 = 271,664.56/x
  3. Step 3: Cross multiply
    537,716.56x = 807,073.02 × 271,664.56
  4. Step 4: Simplify right side
    537,716.56x = 219,253,136,866.17
  5. Step 5: Solve for x
    x = 219,253,136,866.17/537,716.56
  6. Step 6: Final answer
    x = 407,748.53

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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.