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Finding the Fourth Proportional to 384,194.32, 529,553.64 and 256,823.44

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Solution

The fourth proportional to 384,194.32, 529,553.64 and 256,823.44 is: 353,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,194.32 : 529,553.64 = 256,823.44 : x
  2. Step 2: Convert to fraction form
    384,194.32/529,553.64 = 256,823.44/x
  3. Step 3: Cross multiply
    384,194.32x = 529,553.64 × 256,823.44
  4. Step 4: Simplify right side
    384,194.32x = 136,001,787,489.32
  5. Step 5: Solve for x
    x = 136,001,787,489.32/384,194.32
  6. Step 6: Final answer
    x = 353,992.19

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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.