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Finding the Fourth Proportional to 390,227.27, 585,396.70 and 120,378.20

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Solution

The fourth proportional to 390,227.27, 585,396.70 and 120,378.20 is: 180,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,227.27 : 585,396.70 = 120,378.20 : x
  2. Step 2: Convert to fraction form
    390,227.27/585,396.70 = 120,378.20/x
  3. Step 3: Cross multiply
    390,227.27x = 585,396.70 × 120,378.20
  4. Step 4: Simplify right side
    390,227.27x = 70,468,997,804.01
  5. Step 5: Solve for x
    x = 70,468,997,804.01/390,227.27
  6. Step 6: Final answer
    x = 180,584.51

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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.