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Finding the Fourth Proportional to 361,059.86, 498,290.66 and 199,929.90

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Solution

The fourth proportional to 361,059.86, 498,290.66 and 199,929.90 is: 275,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,059.86 : 498,290.66 = 199,929.90 : x
  2. Step 2: Convert to fraction form
    361,059.86/498,290.66 = 199,929.90/x
  3. Step 3: Cross multiply
    361,059.86x = 498,290.66 × 199,929.90
  4. Step 4: Simplify right side
    361,059.86x = 99,623,200,825.08
  5. Step 5: Solve for x
    x = 99,623,200,825.08/361,059.86
  6. Step 6: Final answer
    x = 275,918.80

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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.