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Finding the Fourth Proportional to 334,507.44, 461,836.44 and 207,318

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Solution

The fourth proportional to 334,507.44, 461,836.44 and 207,318 is: 286,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,507.44 : 461,836.44 = 207,318 : x
  2. Step 2: Convert to fraction form
    334,507.44/461,836.44 = 207,318/x
  3. Step 3: Cross multiply
    334,507.44x = 461,836.44 × 207,318
  4. Step 4: Simplify right side
    334,507.44x = 95,747,007,067.92
  5. Step 5: Solve for x
    x = 95,747,007,067.92/334,507.44
  6. Step 6: Final answer
    x = 286,232.82

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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.