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Finding the Fourth Proportional to 599,517.15, 897,664.26 and 456,682

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Solution

The fourth proportional to 599,517.15, 897,664.26 and 456,682 is: 683,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,517.15 : 897,664.26 = 456,682 : x
  2. Step 2: Convert to fraction form
    599,517.15/897,664.26 = 456,682/x
  3. Step 3: Cross multiply
    599,517.15x = 897,664.26 × 456,682
  4. Step 4: Simplify right side
    599,517.15x = 409,947,109,585.32
  5. Step 5: Solve for x
    x = 409,947,109,585.32/599,517.15
  6. Step 6: Final answer
    x = 683,795.47

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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.