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Finding the Fourth Proportional to 383,929.32, 529,732.26 and 232,997.16

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Solution

The fourth proportional to 383,929.32, 529,732.26 and 232,997.16 is: 321,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,929.32 : 529,732.26 = 232,997.16 : x
  2. Step 2: Convert to fraction form
    383,929.32/529,732.26 = 232,997.16/x
  3. Step 3: Cross multiply
    383,929.32x = 529,732.26 × 232,997.16
  4. Step 4: Simplify right side
    383,929.32x = 123,426,112,140.38
  5. Step 5: Solve for x
    x = 123,426,112,140.38/383,929.32
  6. Step 6: Final answer
    x = 321,481.34

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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.