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Finding the Fourth Proportional to 287,675.43, 396,997.38 and 160,337.36

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Solution

The fourth proportional to 287,675.43, 396,997.38 and 160,337.36 is: 221,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,675.43 : 396,997.38 = 160,337.36 : x
  2. Step 2: Convert to fraction form
    287,675.43/396,997.38 = 160,337.36/x
  3. Step 3: Cross multiply
    287,675.43x = 396,997.38 × 160,337.36
  4. Step 4: Simplify right side
    287,675.43x = 63,653,509,851.13
  5. Step 5: Solve for x
    x = 63,653,509,851.13/287,675.43
  6. Step 6: Final answer
    x = 221,268.50

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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.