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Finding the Fourth Proportional to 334,150.72, 461,134.56 and 183,256

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Solution

The fourth proportional to 334,150.72, 461,134.56 and 183,256 is: 252,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,150.72 : 461,134.56 = 183,256 : x
  2. Step 2: Convert to fraction form
    334,150.72/461,134.56 = 183,256/x
  3. Step 3: Cross multiply
    334,150.72x = 461,134.56 × 183,256
  4. Step 4: Simplify right side
    334,150.72x = 84,505,674,927.36
  5. Step 5: Solve for x
    x = 84,505,674,927.36/334,150.72
  6. Step 6: Final answer
    x = 252,896.88

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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.