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Finding the Fourth Proportional to 537,768.29, 807,151.19 and 271,715.64

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Solution

The fourth proportional to 537,768.29, 807,151.19 and 271,715.64 is: 407,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,768.29 : 807,151.19 = 271,715.64 : x
  2. Step 2: Convert to fraction form
    537,768.29/807,151.19 = 271,715.64/x
  3. Step 3: Cross multiply
    537,768.29x = 807,151.19 × 271,715.64
  4. Step 4: Simplify right side
    537,768.29x = 219,315,600,809.03
  5. Step 5: Solve for x
    x = 219,315,600,809.03/537,768.29
  6. Step 6: Final answer
    x = 407,825.46

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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.