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Finding the Fourth Proportional to 649,970.82, 897,185.17 and 446,694.64

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Solution

The fourth proportional to 649,970.82, 897,185.17 and 446,694.64 is: 616,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,970.82 : 897,185.17 = 446,694.64 : x
  2. Step 2: Convert to fraction form
    649,970.82/897,185.17 = 446,694.64/x
  3. Step 3: Cross multiply
    649,970.82x = 897,185.17 × 446,694.64
  4. Step 4: Simplify right side
    649,970.82x = 400,767,806,526.49
  5. Step 5: Solve for x
    x = 400,767,806,526.49/649,970.82
  6. Step 6: Final answer
    x = 616,593.54

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Why These Related Problems?

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