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Finding the Fourth Proportional to 569,200.80, 852,764.40 and 463,447.20

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Solution

The fourth proportional to 569,200.80, 852,764.40 and 463,447.20 is: 694,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,200.80 : 852,764.40 = 463,447.20 : x
  2. Step 2: Convert to fraction form
    569,200.80/852,764.40 = 463,447.20/x
  3. Step 3: Cross multiply
    569,200.80x = 852,764.40 × 463,447.20
  4. Step 4: Simplify right side
    569,200.80x = 395,211,273,439.68
  5. Step 5: Solve for x
    x = 395,211,273,439.68/569,200.80
  6. Step 6: Final answer
    x = 694,326.63

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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.