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Finding the Fourth Proportional to 287,267.77, 396,414.33 and 164,753.83

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Solution

The fourth proportional to 287,267.77, 396,414.33 and 164,753.83 is: 227,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,267.77 : 396,414.33 = 164,753.83 : x
  2. Step 2: Convert to fraction form
    287,267.77/396,414.33 = 164,753.83/x
  3. Step 3: Cross multiply
    287,267.77x = 396,414.33 × 164,753.83
  4. Step 4: Simplify right side
    287,267.77x = 65,310,779,134.38
  5. Step 5: Solve for x
    x = 65,310,779,134.38/287,267.77
  6. Step 6: Final answer
    x = 227,351.57

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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.