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Finding the Fourth Proportional to 362,124.37, 499,725.40 and 200,986.21

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Solution

The fourth proportional to 362,124.37, 499,725.40 and 200,986.21 is: 277,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,124.37 : 499,725.40 = 200,986.21 : x
  2. Step 2: Convert to fraction form
    362,124.37/499,725.40 = 200,986.21/x
  3. Step 3: Cross multiply
    362,124.37x = 499,725.40 × 200,986.21
  4. Step 4: Simplify right side
    362,124.37x = 100,437,914,685.77
  5. Step 5: Solve for x
    x = 100,437,914,685.77/362,124.37
  6. Step 6: Final answer
    x = 277,357.51

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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.