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Finding the Fourth Proportional to 340,465.20, 509,920.20 and 200,497.20

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Solution

The fourth proportional to 340,465.20, 509,920.20 and 200,497.20 is: 300,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,465.20 : 509,920.20 = 200,497.20 : x
  2. Step 2: Convert to fraction form
    340,465.20/509,920.20 = 200,497.20/x
  3. Step 3: Cross multiply
    340,465.20x = 509,920.20 × 200,497.20
  4. Step 4: Simplify right side
    340,465.20x = 102,237,572,323.44
  5. Step 5: Solve for x
    x = 102,237,572,323.44/340,465.20
  6. Step 6: Final answer
    x = 300,287.88

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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.