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Finding the Fourth Proportional to 334,171, 461,155.98 and 183,268

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Solution

The fourth proportional to 334,171, 461,155.98 and 183,268 is: 252,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,171 : 461,155.98 = 183,268 : x
  2. Step 2: Convert to fraction form
    334,171/461,155.98 = 183,268/x
  3. Step 3: Cross multiply
    334,171x = 461,155.98 × 183,268
  4. Step 4: Simplify right side
    334,171x = 84,515,134,142.64
  5. Step 5: Solve for x
    x = 84,515,134,142.64/334,171
  6. Step 6: Final answer
    x = 252,909.84

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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.