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Finding the Fourth Proportional to 284,488.52, 426,732.77 and 84,949.02

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Solution

The fourth proportional to 284,488.52, 426,732.77 and 84,949.02 is: 127,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,488.52 : 426,732.77 = 84,949.02 : x
  2. Step 2: Convert to fraction form
    284,488.52/426,732.77 = 84,949.02/x
  3. Step 3: Cross multiply
    284,488.52x = 426,732.77 × 84,949.02
  4. Step 4: Simplify right side
    284,488.52x = 36,250,530,188.64
  5. Step 5: Solve for x
    x = 36,250,530,188.64/284,488.52
  6. Step 6: Final answer
    x = 127,423.53

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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.