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Finding the Fourth Proportional to 4,978,211.67, 7,467,307.09 and 1,566,796.40

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Solution

The fourth proportional to 4,978,211.67, 7,467,307.09 and 1,566,796.40 is: 2,350,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,211.67 : 7,467,307.09 = 1,566,796.40 : x
  2. Step 2: Convert to fraction form
    4,978,211.67/7,467,307.09 = 1,566,796.40/x
  3. Step 3: Cross multiply
    4,978,211.67x = 7,467,307.09 × 1,566,796.40
  4. Step 4: Simplify right side
    4,978,211.67x = 11,699,749,853,055.35
  5. Step 5: Solve for x
    x = 11,699,749,853,055.35/4,978,211.67
  6. Step 6: Final answer
    x = 2,350,191.32

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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.