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Finding the Fourth Proportional to 267,714.36, 400,782.48 and 234,499.32

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Solution

The fourth proportional to 267,714.36, 400,782.48 and 234,499.32 is: 351,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,714.36 : 400,782.48 = 234,499.32 : x
  2. Step 2: Convert to fraction form
    267,714.36/400,782.48 = 234,499.32/x
  3. Step 3: Cross multiply
    267,714.36x = 400,782.48 × 234,499.32
  4. Step 4: Simplify right side
    267,714.36x = 93,983,219,027.91
  5. Step 5: Solve for x
    x = 93,983,219,027.91/267,714.36
  6. Step 6: Final answer
    x = 351,057.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.