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Finding the Fourth Proportional to 298,422.94, 447,639.06 and 166,143.94

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Solution

The fourth proportional to 298,422.94, 447,639.06 and 166,143.94 is: 249,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,422.94 : 447,639.06 = 166,143.94 : x
  2. Step 2: Convert to fraction form
    298,422.94/447,639.06 = 166,143.94/x
  3. Step 3: Cross multiply
    298,422.94x = 447,639.06 × 166,143.94
  4. Step 4: Simplify right side
    298,422.94x = 74,372,517,126.30
  5. Step 5: Solve for x
    x = 74,372,517,126.30/298,422.94
  6. Step 6: Final answer
    x = 249,218.50

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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.