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Finding the Fourth Proportional to 274,964.70, 412,447.05 and 241,722.30

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Solution

The fourth proportional to 274,964.70, 412,447.05 and 241,722.30 is: 362,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,964.70 : 412,447.05 = 241,722.30 : x
  2. Step 2: Convert to fraction form
    274,964.70/412,447.05 = 241,722.30/x
  3. Step 3: Cross multiply
    274,964.70x = 412,447.05 × 241,722.30
  4. Step 4: Simplify right side
    274,964.70x = 99,697,649,554.22
  5. Step 5: Solve for x
    x = 99,697,649,554.22/274,964.70
  6. Step 6: Final answer
    x = 362,583.45

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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.