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Finding the Fourth Proportional to 353,033.75, 529,422.45 and 193,227.77

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Solution

The fourth proportional to 353,033.75, 529,422.45 and 193,227.77 is: 289,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,033.75 : 529,422.45 = 193,227.77 : x
  2. Step 2: Convert to fraction form
    353,033.75/529,422.45 = 193,227.77/x
  3. Step 3: Cross multiply
    353,033.75x = 529,422.45 × 193,227.77
  4. Step 4: Simplify right side
    353,033.75x = 102,299,116,754.32
  5. Step 5: Solve for x
    x = 102,299,116,754.32/353,033.75
  6. Step 6: Final answer
    x = 289,771.50

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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.