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Finding the Fourth Proportional to 287,278.45, 396,431.47 and 164,682.94

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Solution

The fourth proportional to 287,278.45, 396,431.47 and 164,682.94 is: 227,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,278.45 : 396,431.47 = 164,682.94 : x
  2. Step 2: Convert to fraction form
    287,278.45/396,431.47 = 164,682.94/x
  3. Step 3: Cross multiply
    287,278.45x = 396,431.47 × 164,682.94
  4. Step 4: Simplify right side
    287,278.45x = 65,285,500,598.00
  5. Step 5: Solve for x
    x = 65,285,500,598.00/287,278.45
  6. Step 6: Final answer
    x = 227,255.12

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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.