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Finding the Fourth Proportional to 384,055.31, 529,996 and 214,289.44

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Solution

The fourth proportional to 384,055.31, 529,996 and 214,289.44 is: 295,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,055.31 : 529,996 = 214,289.44 : x
  2. Step 2: Convert to fraction form
    384,055.31/529,996 = 214,289.44/x
  3. Step 3: Cross multiply
    384,055.31x = 529,996 × 214,289.44
  4. Step 4: Simplify right side
    384,055.31x = 113,572,546,042.24
  5. Step 5: Solve for x
    x = 113,572,546,042.24/384,055.31
  6. Step 6: Final answer
    x = 295,719.24

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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.