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Finding the Fourth Proportional to 361,722.87, 499,182.89 and 198,395.01

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Solution

The fourth proportional to 361,722.87, 499,182.89 and 198,395.01 is: 273,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,722.87 : 499,182.89 = 198,395.01 : x
  2. Step 2: Convert to fraction form
    361,722.87/499,182.89 = 198,395.01/x
  3. Step 3: Cross multiply
    361,722.87x = 499,182.89 × 198,395.01
  4. Step 4: Simplify right side
    361,722.87x = 99,035,393,461.40
  5. Step 5: Solve for x
    x = 99,035,393,461.40/361,722.87
  6. Step 6: Final answer
    x = 273,788.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.