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Finding the Fourth Proportional to 294,144, 441,361.80 and 116,647.08

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Solution

The fourth proportional to 294,144, 441,361.80 and 116,647.08 is: 175,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,144 : 441,361.80 = 116,647.08 : x
  2. Step 2: Convert to fraction form
    294,144/441,361.80 = 116,647.08/x
  3. Step 3: Cross multiply
    294,144x = 441,361.80 × 116,647.08
  4. Step 4: Simplify right side
    294,144x = 51,483,565,193.54
  5. Step 5: Solve for x
    x = 51,483,565,193.54/294,144
  6. Step 6: Final answer
    x = 175,028.44

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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.