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Finding the Fourth Proportional to 384,003.79, 529,925.57 and 214,237.96

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Solution

The fourth proportional to 384,003.79, 529,925.57 and 214,237.96 is: 295,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,003.79 : 529,925.57 = 214,237.96 : x
  2. Step 2: Convert to fraction form
    384,003.79/529,925.57 = 214,237.96/x
  3. Step 3: Cross multiply
    384,003.79x = 529,925.57 × 214,237.96
  4. Step 4: Simplify right side
    384,003.79x = 113,530,171,997.45
  5. Step 5: Solve for x
    x = 113,530,171,997.45/384,003.79
  6. Step 6: Final answer
    x = 295,648.57

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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.