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Finding the Fourth Proportional to 896,419, 1,237,058.25 and 494,011

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Solution

The fourth proportional to 896,419, 1,237,058.25 and 494,011 is: 681,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,419 : 1,237,058.25 = 494,011 : x
  2. Step 2: Convert to fraction form
    896,419/1,237,058.25 = 494,011/x
  3. Step 3: Cross multiply
    896,419x = 1,237,058.25 × 494,011
  4. Step 4: Simplify right side
    896,419x = 611,120,383,140.75
  5. Step 5: Solve for x
    x = 611,120,383,140.75/896,419
  6. Step 6: Final answer
    x = 681,735.20

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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.