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Finding the Fourth Proportional to 384,003.54, 529,925.22 and 214,237.72

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Solution

The fourth proportional to 384,003.54, 529,925.22 and 214,237.72 is: 295,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,003.54 : 529,925.22 = 214,237.72 : x
  2. Step 2: Convert to fraction form
    384,003.54/529,925.22 = 214,237.72/x
  3. Step 3: Cross multiply
    384,003.54x = 529,925.22 × 214,237.72
  4. Step 4: Simplify right side
    384,003.54x = 113,529,970,903.30
  5. Step 5: Solve for x
    x = 113,529,970,903.30/384,003.54
  6. Step 6: Final answer
    x = 295,648.24

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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.