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Finding the Fourth Proportional to 5,200,899.90, 7,798,239.45 and 2,681,475.90

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Solution

The fourth proportional to 5,200,899.90, 7,798,239.45 and 2,681,475.90 is: 4,020,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,899.90 : 7,798,239.45 = 2,681,475.90 : x
  2. Step 2: Convert to fraction form
    5,200,899.90/7,798,239.45 = 2,681,475.90/x
  3. Step 3: Cross multiply
    5,200,899.90x = 7,798,239.45 × 2,681,475.90
  4. Step 4: Simplify right side
    5,200,899.90x = 20,910,791,147,604.25
  5. Step 5: Solve for x
    x = 20,910,791,147,604.25/5,200,899.90
  6. Step 6: Final answer
    x = 4,020,610.19

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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.