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Finding the Fourth Proportional to 384,093.60, 529,996.20 and 214,294.80

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Solution

The fourth proportional to 384,093.60, 529,996.20 and 214,294.80 is: 295,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,093.60 : 529,996.20 = 214,294.80 : x
  2. Step 2: Convert to fraction form
    384,093.60/529,996.20 = 214,294.80/x
  3. Step 3: Cross multiply
    384,093.60x = 529,996.20 × 214,294.80
  4. Step 4: Simplify right side
    384,093.60x = 113,575,429,679.76
  5. Step 5: Solve for x
    x = 113,575,429,679.76/384,093.60
  6. Step 6: Final answer
    x = 295,697.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.