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Finding the Fourth Proportional to 356,271.46, 491,629.02 and 195,100.50

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Solution

The fourth proportional to 356,271.46, 491,629.02 and 195,100.50 is: 269,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,271.46 : 491,629.02 = 195,100.50 : x
  2. Step 2: Convert to fraction form
    356,271.46/491,629.02 = 195,100.50/x
  3. Step 3: Cross multiply
    356,271.46x = 491,629.02 × 195,100.50
  4. Step 4: Simplify right side
    356,271.46x = 95,917,067,616.51
  5. Step 5: Solve for x
    x = 95,917,067,616.51/356,271.46
  6. Step 6: Final answer
    x = 269,224.67

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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.