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Finding the Fourth Proportional to 5,203,893.90, 7,806,584.43 and 1,609,967.64

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Solution

The fourth proportional to 5,203,893.90, 7,806,584.43 and 1,609,967.64 is: 2,415,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203,893.90 : 7,806,584.43 = 1,609,967.64 : x
  2. Step 2: Convert to fraction form
    5,203,893.90/7,806,584.43 = 1,609,967.64/x
  3. Step 3: Cross multiply
    5,203,893.90x = 7,806,584.43 × 1,609,967.64
  4. Step 4: Simplify right side
    5,203,893.90x = 12,568,348,311,227.84
  5. Step 5: Solve for x
    x = 12,568,348,311,227.84/5,203,893.90
  6. Step 6: Final answer
    x = 2,415,181.51

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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.