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Finding the Fourth Proportional to 300,928.41, 415,278.59 and 164,969.91

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Solution

The fourth proportional to 300,928.41, 415,278.59 and 164,969.91 is: 227,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,928.41 : 415,278.59 = 164,969.91 : x
  2. Step 2: Convert to fraction form
    300,928.41/415,278.59 = 164,969.91/x
  3. Step 3: Cross multiply
    300,928.41x = 415,278.59 × 164,969.91
  4. Step 4: Simplify right side
    300,928.41x = 68,508,470,792.38
  5. Step 5: Solve for x
    x = 68,508,470,792.38/300,928.41
  6. Step 6: Final answer
    x = 227,657.04

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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.