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Finding the Fourth Proportional to 693,559, 1,040,338.50 and 194,923

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Solution

The fourth proportional to 693,559, 1,040,338.50 and 194,923 is: 292,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,559 : 1,040,338.50 = 194,923 : x
  2. Step 2: Convert to fraction form
    693,559/1,040,338.50 = 194,923/x
  3. Step 3: Cross multiply
    693,559x = 1,040,338.50 × 194,923
  4. Step 4: Simplify right side
    693,559x = 202,785,901,435.50
  5. Step 5: Solve for x
    x = 202,785,901,435.50/693,559
  6. Step 6: Final answer
    x = 292,384.50

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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.