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Finding the Fourth Proportional to 301,299.74, 415,792.49 and 165,335.96

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Solution

The fourth proportional to 301,299.74, 415,792.49 and 165,335.96 is: 228,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,299.74 : 415,792.49 = 165,335.96 : x
  2. Step 2: Convert to fraction form
    301,299.74/415,792.49 = 165,335.96/x
  3. Step 3: Cross multiply
    301,299.74x = 415,792.49 × 165,335.96
  4. Step 4: Simplify right side
    301,299.74x = 68,745,450,468.34
  5. Step 5: Solve for x
    x = 68,745,450,468.34/301,299.74
  6. Step 6: Final answer
    x = 228,163.00

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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.