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Finding the Fourth Proportional to 523,616.90, 785,433.24 and 199,422.94

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Solution

The fourth proportional to 523,616.90, 785,433.24 and 199,422.94 is: 299,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,616.90 : 785,433.24 = 199,422.94 : x
  2. Step 2: Convert to fraction form
    523,616.90/785,433.24 = 199,422.94/x
  3. Step 3: Cross multiply
    523,616.90x = 785,433.24 × 199,422.94
  4. Step 4: Simplify right side
    523,616.90x = 156,633,405,894.53
  5. Step 5: Solve for x
    x = 156,633,405,894.53/523,616.90
  6. Step 6: Final answer
    x = 299,137.41

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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.