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Finding the Fourth Proportional to 281,654.46, 419,969.32 and 250,358.48

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Solution

The fourth proportional to 281,654.46, 419,969.32 and 250,358.48 is: 373,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,654.46 : 419,969.32 = 250,358.48 : x
  2. Step 2: Convert to fraction form
    281,654.46/419,969.32 = 250,358.48/x
  3. Step 3: Cross multiply
    281,654.46x = 419,969.32 × 250,358.48
  4. Step 4: Simplify right side
    281,654.46x = 105,142,880,601.83
  5. Step 5: Solve for x
    x = 105,142,880,601.83/281,654.46
  6. Step 6: Final answer
    x = 373,304.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.