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Finding the Fourth Proportional to 362,806.49, 500,678.95 and 199,469.90

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Solution

The fourth proportional to 362,806.49, 500,678.95 and 199,469.90 is: 275,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,806.49 : 500,678.95 = 199,469.90 : x
  2. Step 2: Convert to fraction form
    362,806.49/500,678.95 = 199,469.90/x
  3. Step 3: Cross multiply
    362,806.49x = 500,678.95 × 199,469.90
  4. Step 4: Simplify right side
    362,806.49x = 99,870,380,088.61
  5. Step 5: Solve for x
    x = 99,870,380,088.61/362,806.49
  6. Step 6: Final answer
    x = 275,271.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.