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Finding the Fourth Proportional to 223,491.60, 335,237.40 and 198,997.20

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Solution

The fourth proportional to 223,491.60, 335,237.40 and 198,997.20 is: 298,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,491.60 : 335,237.40 = 198,997.20 : x
  2. Step 2: Convert to fraction form
    223,491.60/335,237.40 = 198,997.20/x
  3. Step 3: Cross multiply
    223,491.60x = 335,237.40 × 198,997.20
  4. Step 4: Simplify right side
    223,491.60x = 66,711,303,935.28
  5. Step 5: Solve for x
    x = 66,711,303,935.28/223,491.60
  6. Step 6: Final answer
    x = 298,495.80

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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.