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Finding the Fourth Proportional to 298,484.38, 411,894.66 and 162,517.92

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Solution

The fourth proportional to 298,484.38, 411,894.66 and 162,517.92 is: 224,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,484.38 : 411,894.66 = 162,517.92 : x
  2. Step 2: Convert to fraction form
    298,484.38/411,894.66 = 162,517.92/x
  3. Step 3: Cross multiply
    298,484.38x = 411,894.66 × 162,517.92
  4. Step 4: Simplify right side
    298,484.38x = 66,940,263,402.31
  5. Step 5: Solve for x
    x = 66,940,263,402.31/298,484.38
  6. Step 6: Final answer
    x = 224,267.22

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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.