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Finding the Fourth Proportional to 360,917.38, 498,066.93 and 199,783.54

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Solution

The fourth proportional to 360,917.38, 498,066.93 and 199,783.54 is: 275,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,917.38 : 498,066.93 = 199,783.54 : x
  2. Step 2: Convert to fraction form
    360,917.38/498,066.93 = 199,783.54/x
  3. Step 3: Cross multiply
    360,917.38x = 498,066.93 × 199,783.54
  4. Step 4: Simplify right side
    360,917.38x = 99,505,574,432.33
  5. Step 5: Solve for x
    x = 99,505,574,432.33/360,917.38
  6. Step 6: Final answer
    x = 275,701.81

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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.