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Finding the Fourth Proportional to 380,507.28, 570,766.50 and 180,848.04

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Solution

The fourth proportional to 380,507.28, 570,766.50 and 180,848.04 is: 271,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,507.28 : 570,766.50 = 180,848.04 : x
  2. Step 2: Convert to fraction form
    380,507.28/570,766.50 = 180,848.04/x
  3. Step 3: Cross multiply
    380,507.28x = 570,766.50 × 180,848.04
  4. Step 4: Simplify right side
    380,507.28x = 103,222,002,822.66
  5. Step 5: Solve for x
    x = 103,222,002,822.66/380,507.28
  6. Step 6: Final answer
    x = 271,274.71

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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.