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Finding the Fourth Proportional to 534,193.66, 800,736.63 and 334,054.54

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Solution

The fourth proportional to 534,193.66, 800,736.63 and 334,054.54 is: 500,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,193.66 : 800,736.63 = 334,054.54 : x
  2. Step 2: Convert to fraction form
    534,193.66/800,736.63 = 334,054.54/x
  3. Step 3: Cross multiply
    534,193.66x = 800,736.63 × 334,054.54
  4. Step 4: Simplify right side
    534,193.66x = 267,489,706,595.80
  5. Step 5: Solve for x
    x = 267,489,706,595.80/534,193.66
  6. Step 6: Final answer
    x = 500,735.46

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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.