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Finding the Fourth Proportional to 537,768.54, 807,151.57 and 271,715.89

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Solution

The fourth proportional to 537,768.54, 807,151.57 and 271,715.89 is: 407,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,768.54 : 807,151.57 = 271,715.89 : x
  2. Step 2: Convert to fraction form
    537,768.54/807,151.57 = 271,715.89/x
  3. Step 3: Cross multiply
    537,768.54x = 807,151.57 × 271,715.89
  4. Step 4: Simplify right side
    537,768.54x = 219,315,905,848.87
  5. Step 5: Solve for x
    x = 219,315,905,848.87/537,768.54
  6. Step 6: Final answer
    x = 407,825.84

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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.