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Finding the Fourth Proportional to 534,843.21, 802,524.30 and 235,284.86

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Solution

The fourth proportional to 534,843.21, 802,524.30 and 235,284.86 is: 353,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,843.21 : 802,524.30 = 235,284.86 : x
  2. Step 2: Convert to fraction form
    534,843.21/802,524.30 = 235,284.86/x
  3. Step 3: Cross multiply
    534,843.21x = 802,524.30 × 235,284.86
  4. Step 4: Simplify right side
    534,843.21x = 188,821,820,350.44
  5. Step 5: Solve for x
    x = 188,821,820,350.44/534,843.21
  6. Step 6: Final answer
    x = 353,041.45

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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.