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Finding the Fourth Proportional to 334,716.57, 461,908.85 and 181,754.01

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Solution

The fourth proportional to 334,716.57, 461,908.85 and 181,754.01 is: 250,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,716.57 : 461,908.85 = 181,754.01 : x
  2. Step 2: Convert to fraction form
    334,716.57/461,908.85 = 181,754.01/x
  3. Step 3: Cross multiply
    334,716.57x = 461,908.85 × 181,754.01
  4. Step 4: Simplify right side
    334,716.57x = 83,953,784,833.22
  5. Step 5: Solve for x
    x = 83,953,784,833.22/334,716.57
  6. Step 6: Final answer
    x = 250,820.52

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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.