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Finding the Fourth Proportional to 294,028.76, 440,924.41 and 114,019.40

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Solution

The fourth proportional to 294,028.76, 440,924.41 and 114,019.40 is: 170,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,028.76 : 440,924.41 = 114,019.40 : x
  2. Step 2: Convert to fraction form
    294,028.76/440,924.41 = 114,019.40/x
  3. Step 3: Cross multiply
    294,028.76x = 440,924.41 × 114,019.40
  4. Step 4: Simplify right side
    294,028.76x = 50,273,936,673.55
  5. Step 5: Solve for x
    x = 50,273,936,673.55/294,028.76
  6. Step 6: Final answer
    x = 170,983.06

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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.