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Finding the Fourth Proportional to 362,895.56, 500,767.50 and 201,740.80

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Solution

The fourth proportional to 362,895.56, 500,767.50 and 201,740.80 is: 278,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,895.56 : 500,767.50 = 201,740.80 : x
  2. Step 2: Convert to fraction form
    362,895.56/500,767.50 = 201,740.80/x
  3. Step 3: Cross multiply
    362,895.56x = 500,767.50 × 201,740.80
  4. Step 4: Simplify right side
    362,895.56x = 101,025,233,560.16
  5. Step 5: Solve for x
    x = 101,025,233,560.16/362,895.56
  6. Step 6: Final answer
    x = 278,386.52

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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.