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Finding the Fourth Proportional to 298,377.59, 411,771.94 and 162,404.97

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Solution

The fourth proportional to 298,377.59, 411,771.94 and 162,404.97 is: 224,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,377.59 : 411,771.94 = 162,404.97 : x
  2. Step 2: Convert to fraction form
    298,377.59/411,771.94 = 162,404.97/x
  3. Step 3: Cross multiply
    298,377.59x = 411,771.94 × 162,404.97
  4. Step 4: Simplify right side
    298,377.59x = 66,873,807,612.38
  5. Step 5: Solve for x
    x = 66,873,807,612.38/298,377.59
  6. Step 6: Final answer
    x = 224,124.77

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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.