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Finding the Fourth Proportional to 380,353.12, 570,495.68 and 114,173.12

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Solution

The fourth proportional to 380,353.12, 570,495.68 and 114,173.12 is: 171,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,353.12 : 570,495.68 = 114,173.12 : x
  2. Step 2: Convert to fraction form
    380,353.12/570,495.68 = 114,173.12/x
  3. Step 3: Cross multiply
    380,353.12x = 570,495.68 × 114,173.12
  4. Step 4: Simplify right side
    380,353.12x = 65,135,271,732.12
  5. Step 5: Solve for x
    x = 65,135,271,732.12/380,353.12
  6. Step 6: Final answer
    x = 171,249.47

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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.