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Finding the Fourth Proportional to 733,886.30, 1,099,767 and 505,947.94

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Solution

The fourth proportional to 733,886.30, 1,099,767 and 505,947.94 is: 758,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,886.30 : 1,099,767 = 505,947.94 : x
  2. Step 2: Convert to fraction form
    733,886.30/1,099,767 = 505,947.94/x
  3. Step 3: Cross multiply
    733,886.30x = 1,099,767 × 505,947.94
  4. Step 4: Simplify right side
    733,886.30x = 556,424,848,129.98
  5. Step 5: Solve for x
    x = 556,424,848,129.98/733,886.30
  6. Step 6: Final answer
    x = 758,189.45

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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.