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Finding the Fourth Proportional to 569,622.42, 853,930.78 and 214,885.55

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Solution

The fourth proportional to 569,622.42, 853,930.78 and 214,885.55 is: 322,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,622.42 : 853,930.78 = 214,885.55 : x
  2. Step 2: Convert to fraction form
    569,622.42/853,930.78 = 214,885.55/x
  3. Step 3: Cross multiply
    569,622.42x = 853,930.78 × 214,885.55
  4. Step 4: Simplify right side
    569,622.42x = 183,497,386,919.84
  5. Step 5: Solve for x
    x = 183,497,386,919.84/569,622.42
  6. Step 6: Final answer
    x = 322,138.63

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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.