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Finding the Fourth Proportional to 356,989.46, 534,755.19 and 199,301.90

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Solution

The fourth proportional to 356,989.46, 534,755.19 and 199,301.90 is: 298,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,989.46 : 534,755.19 = 199,301.90 : x
  2. Step 2: Convert to fraction form
    356,989.46/534,755.19 = 199,301.90/x
  3. Step 3: Cross multiply
    356,989.46x = 534,755.19 × 199,301.90
  4. Step 4: Simplify right side
    356,989.46x = 106,577,725,401.86
  5. Step 5: Solve for x
    x = 106,577,725,401.86/356,989.46
  6. Step 6: Final answer
    x = 298,545.86

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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.