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Finding the Fourth Proportional to 384,009.96, 529,932.87 and 222,959.28

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Solution

The fourth proportional to 384,009.96, 529,932.87 and 222,959.28 is: 307,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,009.96 : 529,932.87 = 222,959.28 : x
  2. Step 2: Convert to fraction form
    384,009.96/529,932.87 = 222,959.28/x
  3. Step 3: Cross multiply
    384,009.96x = 529,932.87 × 222,959.28
  4. Step 4: Simplify right side
    384,009.96x = 118,153,451,143.53
  5. Step 5: Solve for x
    x = 118,153,451,143.53/384,009.96
  6. Step 6: Final answer
    x = 307,683.30

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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.