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Finding the Fourth Proportional to 693,543, 1,040,314.50 and 194,907

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Solution

The fourth proportional to 693,543, 1,040,314.50 and 194,907 is: 292,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,543 : 1,040,314.50 = 194,907 : x
  2. Step 2: Convert to fraction form
    693,543/1,040,314.50 = 194,907/x
  3. Step 3: Cross multiply
    693,543x = 1,040,314.50 × 194,907
  4. Step 4: Simplify right side
    693,543x = 202,764,578,251.50
  5. Step 5: Solve for x
    x = 202,764,578,251.50/693,543
  6. Step 6: Final answer
    x = 292,360.50

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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.