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Finding the Fourth Proportional to 362,911.95, 500,790.11 and 201,757.19

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Solution

The fourth proportional to 362,911.95, 500,790.11 and 201,757.19 is: 278,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,911.95 : 500,790.11 = 201,757.19 : x
  2. Step 2: Convert to fraction form
    362,911.95/500,790.11 = 201,757.19/x
  3. Step 3: Cross multiply
    362,911.95x = 500,790.11 × 201,757.19
  4. Step 4: Simplify right side
    362,911.95x = 101,038,001,860.65
  5. Step 5: Solve for x
    x = 101,038,001,860.65/362,911.95
  6. Step 6: Final answer
    x = 278,409.13

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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.