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Finding the Fourth Proportional to 362,894.31, 500,765.77 and 201,739.55

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Solution

The fourth proportional to 362,894.31, 500,765.77 and 201,739.55 is: 278,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,894.31 : 500,765.77 = 201,739.55 : x
  2. Step 2: Convert to fraction form
    362,894.31/500,765.77 = 201,739.55/x
  3. Step 3: Cross multiply
    362,894.31x = 500,765.77 × 201,739.55
  4. Step 4: Simplify right side
    362,894.31x = 101,024,261,095.20
  5. Step 5: Solve for x
    x = 101,024,261,095.20/362,894.31
  6. Step 6: Final answer
    x = 278,384.80

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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.