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Finding the Fourth Proportional to 284,431.22, 392,516.42 and 155,371.49

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Solution

The fourth proportional to 284,431.22, 392,516.42 and 155,371.49 is: 214,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,431.22 : 392,516.42 = 155,371.49 : x
  2. Step 2: Convert to fraction form
    284,431.22/392,516.42 = 155,371.49/x
  3. Step 3: Cross multiply
    284,431.22x = 392,516.42 × 155,371.49
  4. Step 4: Simplify right side
    284,431.22x = 60,985,861,024.87
  5. Step 5: Solve for x
    x = 60,985,861,024.87/284,431.22
  6. Step 6: Final answer
    x = 214,413.39

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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.