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Finding the Fourth Proportional to 362,152.68, 499,761.36 and 201,003

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Solution

The fourth proportional to 362,152.68, 499,761.36 and 201,003 is: 277,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,152.68 : 499,761.36 = 201,003 : x
  2. Step 2: Convert to fraction form
    362,152.68/499,761.36 = 201,003/x
  3. Step 3: Cross multiply
    362,152.68x = 499,761.36 × 201,003
  4. Step 4: Simplify right side
    362,152.68x = 100,453,532,644.08
  5. Step 5: Solve for x
    x = 100,453,532,644.08/362,152.68
  6. Step 6: Final answer
    x = 277,378.96

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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.