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Finding the Fourth Proportional to 465,446.40, 698,234.40 and 199,204.80

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Solution

The fourth proportional to 465,446.40, 698,234.40 and 199,204.80 is: 298,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,446.40 : 698,234.40 = 199,204.80 : x
  2. Step 2: Convert to fraction form
    465,446.40/698,234.40 = 199,204.80/x
  3. Step 3: Cross multiply
    465,446.40x = 698,234.40 × 199,204.80
  4. Step 4: Simplify right side
    465,446.40x = 139,091,644,005.12
  5. Step 5: Solve for x
    x = 139,091,644,005.12/465,446.40
  6. Step 6: Final answer
    x = 298,834.93

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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.