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Finding the Fourth Proportional to 507,134.32, 699,814.41 and 277,694.33

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Solution

The fourth proportional to 507,134.32, 699,814.41 and 277,694.33 is: 383,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,134.32 : 699,814.41 = 277,694.33 : x
  2. Step 2: Convert to fraction form
    507,134.32/699,814.41 = 277,694.33/x
  3. Step 3: Cross multiply
    507,134.32x = 699,814.41 × 277,694.33
  4. Step 4: Simplify right side
    507,134.32x = 194,334,489,949.89
  5. Step 5: Solve for x
    x = 194,334,489,949.89/507,134.32
  6. Step 6: Final answer
    x = 383,201.22

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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.