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Finding the Fourth Proportional to 476,473.44, 714,719.92 and 195,954.24

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Solution

The fourth proportional to 476,473.44, 714,719.92 and 195,954.24 is: 293,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,473.44 : 714,719.92 = 195,954.24 : x
  2. Step 2: Convert to fraction form
    476,473.44/714,719.92 = 195,954.24/x
  3. Step 3: Cross multiply
    476,473.44x = 714,719.92 × 195,954.24
  4. Step 4: Simplify right side
    476,473.44x = 140,052,398,736.46
  5. Step 5: Solve for x
    x = 140,052,398,736.46/476,473.44
  6. Step 6: Final answer
    x = 293,935.37

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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.