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Finding the Fourth Proportional to 287,664.27, 396,977.13 and 160,337.13

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Solution

The fourth proportional to 287,664.27, 396,977.13 and 160,337.13 is: 221,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,664.27 : 396,977.13 = 160,337.13 : x
  2. Step 2: Convert to fraction form
    287,664.27/396,977.13 = 160,337.13/x
  3. Step 3: Cross multiply
    287,664.27x = 396,977.13 × 160,337.13
  4. Step 4: Simplify right side
    287,664.27x = 63,650,173,699.84
  5. Step 5: Solve for x
    x = 63,650,173,699.84/287,664.27
  6. Step 6: Final answer
    x = 221,265.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.