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Finding the Fourth Proportional to 360,906.66, 498,038.49 and 199,762.02

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Solution

The fourth proportional to 360,906.66, 498,038.49 and 199,762.02 is: 275,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,906.66 : 498,038.49 = 199,762.02 : x
  2. Step 2: Convert to fraction form
    360,906.66/498,038.49 = 199,762.02/x
  3. Step 3: Cross multiply
    360,906.66x = 498,038.49 × 199,762.02
  4. Step 4: Simplify right side
    360,906.66x = 99,489,174,800.15
  5. Step 5: Solve for x
    x = 99,489,174,800.15/360,906.66
  6. Step 6: Final answer
    x = 275,664.56

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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.