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Finding the Fourth Proportional to 284,489.26, 426,640.08 and 94,897.38

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Solution

The fourth proportional to 284,489.26, 426,640.08 and 94,897.38 is: 142,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,489.26 : 426,640.08 = 94,897.38 : x
  2. Step 2: Convert to fraction form
    284,489.26/426,640.08 = 94,897.38/x
  3. Step 3: Cross multiply
    284,489.26x = 426,640.08 × 94,897.38
  4. Step 4: Simplify right side
    284,489.26x = 40,487,023,661.79
  5. Step 5: Solve for x
    x = 40,487,023,661.79/284,489.26
  6. Step 6: Final answer
    x = 142,314.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.