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Finding the Fourth Proportional to 697,694, 1,046,697 and 254,462

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Solution

The fourth proportional to 697,694, 1,046,697 and 254,462 is: 381,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,694 : 1,046,697 = 254,462 : x
  2. Step 2: Convert to fraction form
    697,694/1,046,697 = 254,462/x
  3. Step 3: Cross multiply
    697,694x = 1,046,697 × 254,462
  4. Step 4: Simplify right side
    697,694x = 266,344,612,014
  5. Step 5: Solve for x
    x = 266,344,612,014/697,694
  6. Step 6: Final answer
    x = 381,749.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.