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Finding the Fourth Proportional to 294,083.66, 440,888 and 114,076.14

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Solution

The fourth proportional to 294,083.66, 440,888 and 114,076.14 is: 171,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,083.66 : 440,888 = 114,076.14 : x
  2. Step 2: Convert to fraction form
    294,083.66/440,888 = 114,076.14/x
  3. Step 3: Cross multiply
    294,083.66x = 440,888 × 114,076.14
  4. Step 4: Simplify right side
    294,083.66x = 50,294,801,212.32
  5. Step 5: Solve for x
    x = 50,294,801,212.32/294,083.66
  6. Step 6: Final answer
    x = 171,022.09

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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.