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Finding the Fourth Proportional to 229,697.60, 344,546.40 and 198,593.60

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Solution

The fourth proportional to 229,697.60, 344,546.40 and 198,593.60 is: 297,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,697.60 : 344,546.40 = 198,593.60 : x
  2. Step 2: Convert to fraction form
    229,697.60/344,546.40 = 198,593.60/x
  3. Step 3: Cross multiply
    229,697.60x = 344,546.40 × 198,593.60
  4. Step 4: Simplify right side
    229,697.60x = 68,424,709,943.04
  5. Step 5: Solve for x
    x = 68,424,709,943.04/229,697.60
  6. Step 6: Final answer
    x = 297,890.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.