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Finding the Fourth Proportional to 322,884.40, 484,012.59 and 154,361.06

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Solution

The fourth proportional to 322,884.40, 484,012.59 and 154,361.06 is: 231,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,884.40 : 484,012.59 = 154,361.06 : x
  2. Step 2: Convert to fraction form
    322,884.40/484,012.59 = 154,361.06/x
  3. Step 3: Cross multiply
    322,884.40x = 484,012.59 × 154,361.06
  4. Step 4: Simplify right side
    322,884.40x = 74,712,697,076.92
  5. Step 5: Solve for x
    x = 74,712,697,076.92/322,884.40
  6. Step 6: Final answer
    x = 231,391.48

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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.