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Finding the Fourth Proportional to 287,079.95, 395,759.73 and 201,932.75

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Solution

The fourth proportional to 287,079.95, 395,759.73 and 201,932.75 is: 278,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,079.95 : 395,759.73 = 201,932.75 : x
  2. Step 2: Convert to fraction form
    287,079.95/395,759.73 = 201,932.75/x
  3. Step 3: Cross multiply
    287,079.95x = 395,759.73 × 201,932.75
  4. Step 4: Simplify right side
    287,079.95x = 79,916,850,618.16
  5. Step 5: Solve for x
    x = 79,916,850,618.16/287,079.95
  6. Step 6: Final answer
    x = 278,378.38

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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.