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Finding the Fourth Proportional to 494,047.51, 681,786.06 and 267,693.01

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Solution

The fourth proportional to 494,047.51, 681,786.06 and 267,693.01 is: 369,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,047.51 : 681,786.06 = 267,693.01 : x
  2. Step 2: Convert to fraction form
    494,047.51/681,786.06 = 267,693.01/x
  3. Step 3: Cross multiply
    494,047.51x = 681,786.06 × 267,693.01
  4. Step 4: Simplify right side
    494,047.51x = 182,509,362,577.44
  5. Step 5: Solve for x
    x = 182,509,362,577.44/494,047.51
  6. Step 6: Final answer
    x = 369,416.62

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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.