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Finding the Fourth Proportional to 362,170.32, 543,788.67 and 202,558.98

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Solution

The fourth proportional to 362,170.32, 543,788.67 and 202,558.98 is: 304,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,170.32 : 543,788.67 = 202,558.98 : x
  2. Step 2: Convert to fraction form
    362,170.32/543,788.67 = 202,558.98/x
  3. Step 3: Cross multiply
    362,170.32x = 543,788.67 × 202,558.98
  4. Step 4: Simplify right side
    362,170.32x = 110,149,278,330.76
  5. Step 5: Solve for x
    x = 110,149,278,330.76/362,170.32
  6. Step 6: Final answer
    x = 304,136.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.