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Finding the Fourth Proportional to 551,889, 827,084.88 and 251,997.84

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Solution

The fourth proportional to 551,889, 827,084.88 and 251,997.84 is: 377,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,889 : 827,084.88 = 251,997.84 : x
  2. Step 2: Convert to fraction form
    551,889/827,084.88 = 251,997.84/x
  3. Step 3: Cross multiply
    551,889x = 827,084.88 × 251,997.84
  4. Step 4: Simplify right side
    551,889x = 208,423,603,256.66
  5. Step 5: Solve for x
    x = 208,423,603,256.66/551,889
  6. Step 6: Final answer
    x = 377,654.93

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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.