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Finding the Fourth Proportional to 294,204.48, 441,372.96 and 107,216.64

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Solution

The fourth proportional to 294,204.48, 441,372.96 and 107,216.64 is: 160,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,204.48 : 441,372.96 = 107,216.64 : x
  2. Step 2: Convert to fraction form
    294,204.48/441,372.96 = 107,216.64/x
  3. Step 3: Cross multiply
    294,204.48x = 441,372.96 × 107,216.64
  4. Step 4: Simplify right side
    294,204.48x = 47,322,525,758.05
  5. Step 5: Solve for x
    x = 47,322,525,758.05/294,204.48
  6. Step 6: Final answer
    x = 160,849.10

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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.