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Finding the Fourth Proportional to 522,651.83, 721,190.46 and 293,200.31

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Solution

The fourth proportional to 522,651.83, 721,190.46 and 293,200.31 is: 404,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,651.83 : 721,190.46 = 293,200.31 : x
  2. Step 2: Convert to fraction form
    522,651.83/721,190.46 = 293,200.31/x
  3. Step 3: Cross multiply
    522,651.83x = 721,190.46 × 293,200.31
  4. Step 4: Simplify right side
    522,651.83x = 211,453,268,244.02
  5. Step 5: Solve for x
    x = 211,453,268,244.02/522,651.83
  6. Step 6: Final answer
    x = 404,577.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.