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Finding the Fourth Proportional to 362,895.56, 500,767.50 and 201,740.79

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Solution

The fourth proportional to 362,895.56, 500,767.50 and 201,740.79 is: 278,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,895.56 : 500,767.50 = 201,740.79 : x
  2. Step 2: Convert to fraction form
    362,895.56/500,767.50 = 201,740.79/x
  3. Step 3: Cross multiply
    362,895.56x = 500,767.50 × 201,740.79
  4. Step 4: Simplify right side
    362,895.56x = 101,025,230,047.62
  5. Step 5: Solve for x
    x = 101,025,230,047.62/362,895.56
  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.