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Finding the Fourth Proportional to 362,586.83, 500,378.76 and 199,242

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Solution

The fourth proportional to 362,586.83, 500,378.76 and 199,242 is: 274,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,586.83 : 500,378.76 = 199,242 : x
  2. Step 2: Convert to fraction form
    362,586.83/500,378.76 = 199,242/x
  3. Step 3: Cross multiply
    362,586.83x = 500,378.76 × 199,242
  4. Step 4: Simplify right side
    362,586.83x = 99,696,464,899.92
  5. Step 5: Solve for x
    x = 99,696,464,899.92/362,586.83
  6. Step 6: Final answer
    x = 274,958.87

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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.