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Finding the Fourth Proportional to 362,806.29, 500,678.67 and 199,469.70

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Solution

The fourth proportional to 362,806.29, 500,678.67 and 199,469.70 is: 275,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,806.29 : 500,678.67 = 199,469.70 : x
  2. Step 2: Convert to fraction form
    362,806.29/500,678.67 = 199,469.70/x
  3. Step 3: Cross multiply
    362,806.29x = 500,678.67 × 199,469.70
  4. Step 4: Simplify right side
    362,806.29x = 99,870,224,101.30
  5. Step 5: Solve for x
    x = 99,870,224,101.30/362,806.29
  6. Step 6: Final answer
    x = 275,271.48

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1.5x scale

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.