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Finding the Fourth Proportional to 380,414.08, 570,716 and 114,179.52

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Solution

The fourth proportional to 380,414.08, 570,716 and 114,179.52 is: 171,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,414.08 : 570,716 = 114,179.52 : x
  2. Step 2: Convert to fraction form
    380,414.08/570,716 = 114,179.52/x
  3. Step 3: Cross multiply
    380,414.08x = 570,716 × 114,179.52
  4. Step 4: Simplify right side
    380,414.08x = 65,164,078,936.32
  5. Step 5: Solve for x
    x = 65,164,078,936.32/380,414.08
  6. Step 6: Final answer
    x = 171,297.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.