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Finding the Fourth Proportional to 384,405.14, 576,662.97 and 118,188.02

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Solution

The fourth proportional to 384,405.14, 576,662.97 and 118,188.02 is: 177,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,405.14 : 576,662.97 = 118,188.02 : x
  2. Step 2: Convert to fraction form
    384,405.14/576,662.97 = 118,188.02/x
  3. Step 3: Cross multiply
    384,405.14x = 576,662.97 × 118,188.02
  4. Step 4: Simplify right side
    384,405.14x = 68,154,654,631.62
  5. Step 5: Solve for x
    x = 68,154,654,631.62/384,405.14
  6. Step 6: Final answer
    x = 177,299.02

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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.