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Finding the Fourth Proportional to 298,395.86, 411,791.54 and 162,433.71

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Solution

The fourth proportional to 298,395.86, 411,791.54 and 162,433.71 is: 224,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,395.86 : 411,791.54 = 162,433.71 : x
  2. Step 2: Convert to fraction form
    298,395.86/411,791.54 = 162,433.71/x
  3. Step 3: Cross multiply
    298,395.86x = 411,791.54 × 162,433.71
  4. Step 4: Simplify right side
    298,395.86x = 66,888,826,776.64
  5. Step 5: Solve for x
    x = 66,888,826,776.64/298,395.86
  6. Step 6: Final answer
    x = 224,161.38

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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.