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Finding the Fourth Proportional to 362,439.83, 500,173.16 and 199,103.22

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Solution

The fourth proportional to 362,439.83, 500,173.16 and 199,103.22 is: 274,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,439.83 : 500,173.16 = 199,103.22 : x
  2. Step 2: Convert to fraction form
    362,439.83/500,173.16 = 199,103.22/x
  3. Step 3: Cross multiply
    362,439.83x = 500,173.16 × 199,103.22
  4. Step 4: Simplify right side
    362,439.83x = 99,586,085,718.06
  5. Step 5: Solve for x
    x = 99,586,085,718.06/362,439.83
  6. Step 6: Final answer
    x = 274,765.84

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Double scale
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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.