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Finding the Fourth Proportional to 298,406.21, 447,744.71 and 273,179.03

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Solution

The fourth proportional to 298,406.21, 447,744.71 and 273,179.03 is: 409,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,406.21 : 447,744.71 = 273,179.03 : x
  2. Step 2: Convert to fraction form
    298,406.21/447,744.71 = 273,179.03/x
  3. Step 3: Cross multiply
    298,406.21x = 447,744.71 × 273,179.03
  4. Step 4: Simplify right side
    298,406.21x = 122,314,464,009.66
  5. Step 5: Solve for x
    x = 122,314,464,009.66/298,406.21
  6. Step 6: Final answer
    x = 409,892.50

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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.