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Finding the Fourth Proportional to 465,754.38, 698,047.05 and 199,201.50

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Solution

The fourth proportional to 465,754.38, 698,047.05 and 199,201.50 is: 298,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,754.38 : 698,047.05 = 199,201.50 : x
  2. Step 2: Convert to fraction form
    465,754.38/698,047.05 = 199,201.50/x
  3. Step 3: Cross multiply
    465,754.38x = 698,047.05 × 199,201.50
  4. Step 4: Simplify right side
    465,754.38x = 139,052,019,430.58
  5. Step 5: Solve for x
    x = 139,052,019,430.58/465,754.38
  6. Step 6: Final answer
    x = 298,552.25

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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.