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Finding the Fourth Proportional to 343,733.50, 474,355.47 and 192,833.74

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Solution

The fourth proportional to 343,733.50, 474,355.47 and 192,833.74 is: 266,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,733.50 : 474,355.47 = 192,833.74 : x
  2. Step 2: Convert to fraction form
    343,733.50/474,355.47 = 192,833.74/x
  3. Step 3: Cross multiply
    343,733.50x = 474,355.47 × 192,833.74
  4. Step 4: Simplify right side
    343,733.50x = 91,471,739,369.56
  5. Step 5: Solve for x
    x = 91,471,739,369.56/343,733.50
  6. Step 6: Final answer
    x = 266,112.38

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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.