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Finding the Fourth Proportional to 343,855.31, 474,524.46 and 190,896.53

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Solution

The fourth proportional to 343,855.31, 474,524.46 and 190,896.53 is: 263,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,855.31 : 474,524.46 = 190,896.53 : x
  2. Step 2: Convert to fraction form
    343,855.31/474,524.46 = 190,896.53/x
  3. Step 3: Cross multiply
    343,855.31x = 474,524.46 × 190,896.53
  4. Step 4: Simplify right side
    343,855.31x = 90,585,070,441.50
  5. Step 5: Solve for x
    x = 90,585,070,441.50/343,855.31
  6. Step 6: Final answer
    x = 263,439.50

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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.