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Finding the Fourth Proportional to 294,644.32, 441,885.76 and 81,361.20

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Solution

The fourth proportional to 294,644.32, 441,885.76 and 81,361.20 is: 122,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,644.32 : 441,885.76 = 81,361.20 : x
  2. Step 2: Convert to fraction form
    294,644.32/441,885.76 = 81,361.20/x
  3. Step 3: Cross multiply
    294,644.32x = 441,885.76 × 81,361.20
  4. Step 4: Simplify right side
    294,644.32x = 35,952,355,696.51
  5. Step 5: Solve for x
    x = 35,952,355,696.51/294,644.32
  6. Step 6: Final answer
    x = 122,019.51

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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.