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Finding the Fourth Proportional to 380,568.50, 571,040.31 and 178,178.28

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Solution

The fourth proportional to 380,568.50, 571,040.31 and 178,178.28 is: 267,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,568.50 : 571,040.31 = 178,178.28 : x
  2. Step 2: Convert to fraction form
    380,568.50/571,040.31 = 178,178.28/x
  3. Step 3: Cross multiply
    380,568.50x = 571,040.31 × 178,178.28
  4. Step 4: Simplify right side
    380,568.50x = 101,746,980,246.47
  5. Step 5: Solve for x
    x = 101,746,980,246.47/380,568.50
  6. Step 6: Final answer
    x = 267,355.24

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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.