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Finding the Fourth Proportional to 360,894.38, 498,026.81 and 199,739.82

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Solution

The fourth proportional to 360,894.38, 498,026.81 and 199,739.82 is: 275,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,894.38 : 498,026.81 = 199,739.82 : x
  2. Step 2: Convert to fraction form
    360,894.38/498,026.81 = 199,739.82/x
  3. Step 3: Cross multiply
    360,894.38x = 498,026.81 × 199,739.82
  4. Step 4: Simplify right side
    360,894.38x = 99,475,784,385.88
  5. Step 5: Solve for x
    x = 99,475,784,385.88/360,894.38
  6. Step 6: Final answer
    x = 275,636.84

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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.