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Finding the Fourth Proportional to 547,897.62, 822,064.39 and 210,847.78

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Solution

The fourth proportional to 547,897.62, 822,064.39 and 210,847.78 is: 316,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,897.62 : 822,064.39 = 210,847.78 : x
  2. Step 2: Convert to fraction form
    547,897.62/822,064.39 = 210,847.78/x
  3. Step 3: Cross multiply
    547,897.62x = 822,064.39 × 210,847.78
  4. Step 4: Simplify right side
    547,897.62x = 173,330,451,648.55
  5. Step 5: Solve for x
    x = 173,330,451,648.55/547,897.62
  6. Step 6: Final answer
    x = 316,355.55

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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.