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Finding the Fourth Proportional to 703,978.24, 1,055,998.06 and 344,451.80

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Solution

The fourth proportional to 703,978.24, 1,055,998.06 and 344,451.80 is: 516,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,978.24 : 1,055,998.06 = 344,451.80 : x
  2. Step 2: Convert to fraction form
    703,978.24/1,055,998.06 = 344,451.80/x
  3. Step 3: Cross multiply
    703,978.24x = 1,055,998.06 × 344,451.80
  4. Step 4: Simplify right side
    703,978.24x = 363,740,437,764.92
  5. Step 5: Solve for x
    x = 363,740,437,764.92/703,978.24
  6. Step 6: Final answer
    x = 516,692.73

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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.