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Finding the Fourth Proportional to 361,056.80, 498,276.80 and 199,929.68

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Solution

The fourth proportional to 361,056.80, 498,276.80 and 199,929.68 is: 275,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,056.80 : 498,276.80 = 199,929.68 : x
  2. Step 2: Convert to fraction form
    361,056.80/498,276.80 = 199,929.68/x
  3. Step 3: Cross multiply
    361,056.80x = 498,276.80 × 199,929.68
  4. Step 4: Simplify right side
    361,056.80x = 99,620,321,175.42
  5. Step 5: Solve for x
    x = 99,620,321,175.42/361,056.80
  6. Step 6: Final answer
    x = 275,913.16

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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.