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Finding the Fourth Proportional to 540,469.61, 810,737.85 and 180,672.84

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Solution

The fourth proportional to 540,469.61, 810,737.85 and 180,672.84 is: 271,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,469.61 : 810,737.85 = 180,672.84 : x
  2. Step 2: Convert to fraction form
    540,469.61/810,737.85 = 180,672.84/x
  3. Step 3: Cross multiply
    540,469.61x = 810,737.85 × 180,672.84
  4. Step 4: Simplify right side
    540,469.61x = 146,478,310,024.38
  5. Step 5: Solve for x
    x = 146,478,310,024.38/540,469.61
  6. Step 6: Final answer
    x = 271,020.44

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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.