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Finding the Fourth Proportional to 403,716.64, 605,693.39 and 119,414.70

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Solution

The fourth proportional to 403,716.64, 605,693.39 and 119,414.70 is: 179,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,716.64 : 605,693.39 = 119,414.70 : x
  2. Step 2: Convert to fraction form
    403,716.64/605,693.39 = 119,414.70/x
  3. Step 3: Cross multiply
    403,716.64x = 605,693.39 × 119,414.70
  4. Step 4: Simplify right side
    403,716.64x = 72,328,694,458.83
  5. Step 5: Solve for x
    x = 72,328,694,458.83/403,716.64
  6. Step 6: Final answer
    x = 179,157.08

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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.