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Finding the Fourth Proportional to 3,474,188.47, 5,211,978.45 and 1,199,795.95

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Solution

The fourth proportional to 3,474,188.47, 5,211,978.45 and 1,199,795.95 is: 1,799,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474,188.47 : 5,211,978.45 = 1,199,795.95 : x
  2. Step 2: Convert to fraction form
    3,474,188.47/5,211,978.45 = 1,199,795.95/x
  3. Step 3: Cross multiply
    3,474,188.47x = 5,211,978.45 × 1,199,795.95
  4. Step 4: Simplify right side
    3,474,188.47x = 6,253,310,635,797.28
  5. Step 5: Solve for x
    x = 6,253,310,635,797.28/3,474,188.47
  6. Step 6: Final answer
    x = 1,799,934.20

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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.