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Finding the Fourth Proportional to 741,404.75, 1,023,074.96 and 431,364.69

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Solution

The fourth proportional to 741,404.75, 1,023,074.96 and 431,364.69 is: 595,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,404.75 : 1,023,074.96 = 431,364.69 : x
  2. Step 2: Convert to fraction form
    741,404.75/1,023,074.96 = 431,364.69/x
  3. Step 3: Cross multiply
    741,404.75x = 1,023,074.96 × 431,364.69
  4. Step 4: Simplify right side
    741,404.75x = 441,318,410,810.34
  5. Step 5: Solve for x
    x = 441,318,410,810.34/741,404.75
  6. Step 6: Final answer
    x = 595,246.27

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