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Finding the Fourth Proportional to 343,947.50, 474,647.58 and 193,044.50

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Solution

The fourth proportional to 343,947.50, 474,647.58 and 193,044.50 is: 266,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,947.50 : 474,647.58 = 193,044.50 : x
  2. Step 2: Convert to fraction form
    343,947.50/474,647.58 = 193,044.50/x
  3. Step 3: Cross multiply
    343,947.50x = 474,647.58 × 193,044.50
  4. Step 4: Simplify right side
    343,947.50x = 91,628,104,757.31
  5. Step 5: Solve for x
    x = 91,628,104,757.31/343,947.50
  6. Step 6: Final answer
    x = 266,401.43

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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.