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Finding the Fourth Proportional to 465,755.91, 698,563.62 and 298,445.40

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Solution

The fourth proportional to 465,755.91, 698,563.62 and 298,445.40 is: 447,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,755.91 : 698,563.62 = 298,445.40 : x
  2. Step 2: Convert to fraction form
    465,755.91/698,563.62 = 298,445.40/x
  3. Step 3: Cross multiply
    465,755.91x = 698,563.62 × 298,445.40
  4. Step 4: Simplify right side
    465,755.91x = 208,483,098,996.35
  5. Step 5: Solve for x
    x = 208,483,098,996.35/465,755.91
  6. Step 6: Final answer
    x = 447,623.09

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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.