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Finding the Fourth Proportional to 362,185.27, 499,838.36 and 201,043

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Solution

The fourth proportional to 362,185.27, 499,838.36 and 201,043 is: 277,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,185.27 : 499,838.36 = 201,043 : x
  2. Step 2: Convert to fraction form
    362,185.27/499,838.36 = 201,043/x
  3. Step 3: Cross multiply
    362,185.27x = 499,838.36 × 201,043
  4. Step 4: Simplify right side
    362,185.27x = 100,489,003,409.48
  5. Step 5: Solve for x
    x = 100,489,003,409.48/362,185.27
  6. Step 6: Final answer
    x = 277,451.93

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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.