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Finding the Fourth Proportional to 298,222.92, 411,551.85 and 162,256.96

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Solution

The fourth proportional to 298,222.92, 411,551.85 and 162,256.96 is: 223,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,222.92 : 411,551.85 = 162,256.96 : x
  2. Step 2: Convert to fraction form
    298,222.92/411,551.85 = 162,256.96/x
  3. Step 3: Cross multiply
    298,222.92x = 411,551.85 × 162,256.96
  4. Step 4: Simplify right side
    298,222.92x = 66,777,152,063.38
  5. Step 5: Solve for x
    x = 66,777,152,063.38/298,222.92
  6. Step 6: Final answer
    x = 223,916.90

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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.