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Finding the Fourth Proportional to 361,539.80, 498,924.07 and 198,196.02

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Solution

The fourth proportional to 361,539.80, 498,924.07 and 198,196.02 is: 273,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,539.80 : 498,924.07 = 198,196.02 : x
  2. Step 2: Convert to fraction form
    361,539.80/498,924.07 = 198,196.02/x
  3. Step 3: Cross multiply
    361,539.80x = 498,924.07 × 198,196.02
  4. Step 4: Simplify right side
    361,539.80x = 98,884,765,090.23
  5. Step 5: Solve for x
    x = 98,884,765,090.23/361,539.80
  6. Step 6: Final answer
    x = 273,510.04

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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.