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Finding the Fourth Proportional to 298,372.05, 411,762.06 and 162,414.81

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Solution

The fourth proportional to 298,372.05, 411,762.06 and 162,414.81 is: 224,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,372.05 : 411,762.06 = 162,414.81 : x
  2. Step 2: Convert to fraction form
    298,372.05/411,762.06 = 162,414.81/x
  3. Step 3: Cross multiply
    298,372.05x = 411,762.06 × 162,414.81
  4. Step 4: Simplify right side
    298,372.05x = 66,876,256,740.11
  5. Step 5: Solve for x
    x = 66,876,256,740.11/298,372.05
  6. Step 6: Final answer
    x = 224,137.14

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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.