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Finding the Fourth Proportional to 294,083.65, 440,887.86 and 114,076.13

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Solution

The fourth proportional to 294,083.65, 440,887.86 and 114,076.13 is: 171,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,083.65 : 440,887.86 = 114,076.13 : x
  2. Step 2: Convert to fraction form
    294,083.65/440,887.86 = 114,076.13/x
  3. Step 3: Cross multiply
    294,083.65x = 440,887.86 × 114,076.13
  4. Step 4: Simplify right side
    294,083.65x = 50,294,780,832.78
  5. Step 5: Solve for x
    x = 50,294,780,832.78/294,083.65
  6. Step 6: Final answer
    x = 171,022.02

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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.