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Finding the Fourth Proportional to 295,908.54, 443,974.54 and 177,662.30

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Solution

The fourth proportional to 295,908.54, 443,974.54 and 177,662.30 is: 266,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,908.54 : 443,974.54 = 177,662.30 : x
  2. Step 2: Convert to fraction form
    295,908.54/443,974.54 = 177,662.30/x
  3. Step 3: Cross multiply
    295,908.54x = 443,974.54 × 177,662.30
  4. Step 4: Simplify right side
    295,908.54x = 78,877,537,917.84
  5. Step 5: Solve for x
    x = 78,877,537,917.84/295,908.54
  6. Step 6: Final answer
    x = 266,560.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.