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Finding the Fourth Proportional to 262,431.94, 362,330.38 and 201,895.78

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Solution

The fourth proportional to 262,431.94, 362,330.38 and 201,895.78 is: 278,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,431.94 : 362,330.38 = 201,895.78 : x
  2. Step 2: Convert to fraction form
    262,431.94/362,330.38 = 201,895.78/x
  3. Step 3: Cross multiply
    262,431.94x = 362,330.38 × 201,895.78
  4. Step 4: Simplify right side
    262,431.94x = 73,152,974,687.80
  5. Step 5: Solve for x
    x = 73,152,974,687.80/262,431.94
  6. Step 6: Final answer
    x = 278,750.27

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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.