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Finding the Fourth Proportional to 465,751.38, 698,042.55 and 199,198.50

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Solution

The fourth proportional to 465,751.38, 698,042.55 and 199,198.50 is: 298,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,751.38 : 698,042.55 = 199,198.50 : x
  2. Step 2: Convert to fraction form
    465,751.38/698,042.55 = 199,198.50/x
  3. Step 3: Cross multiply
    465,751.38x = 698,042.55 × 199,198.50
  4. Step 4: Simplify right side
    465,751.38x = 139,049,028,896.18
  5. Step 5: Solve for x
    x = 139,049,028,896.18/465,751.38
  6. Step 6: Final answer
    x = 298,547.76

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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.