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Finding the Fourth Proportional to 284,490.52, 426,735.76 and 84,951.02

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Solution

The fourth proportional to 284,490.52, 426,735.76 and 84,951.02 is: 127,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,490.52 : 426,735.76 = 84,951.02 : x
  2. Step 2: Convert to fraction form
    284,490.52/426,735.76 = 84,951.02/x
  3. Step 3: Cross multiply
    284,490.52x = 426,735.76 × 84,951.02
  4. Step 4: Simplify right side
    284,490.52x = 36,251,638,082.48
  5. Step 5: Solve for x
    x = 36,251,638,082.48/284,490.52
  6. Step 6: Final answer
    x = 127,426.52

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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.