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Finding the Fourth Proportional to 465,747.64, 698,621.37 and 199,335.40

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Solution

The fourth proportional to 465,747.64, 698,621.37 and 199,335.40 is: 299,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,747.64 : 698,621.37 = 199,335.40 : x
  2. Step 2: Convert to fraction form
    465,747.64/698,621.37 = 199,335.40/x
  3. Step 3: Cross multiply
    465,747.64x = 698,621.37 × 199,335.40
  4. Step 4: Simplify right side
    465,747.64x = 139,259,970,237.50
  5. Step 5: Solve for x
    x = 139,259,970,237.50/465,747.64
  6. Step 6: Final answer
    x = 299,003.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.