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Finding the Fourth Proportional to 294,538.70, 441,808.05 and 271,729.10

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Solution

The fourth proportional to 294,538.70, 441,808.05 and 271,729.10 is: 407,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,538.70 : 441,808.05 = 271,729.10 : x
  2. Step 2: Convert to fraction form
    294,538.70/441,808.05 = 271,729.10/x
  3. Step 3: Cross multiply
    294,538.70x = 441,808.05 × 271,729.10
  4. Step 4: Simplify right side
    294,538.70x = 120,052,103,799.26
  5. Step 5: Solve for x
    x = 120,052,103,799.26/294,538.70
  6. Step 6: Final answer
    x = 407,593.65

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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.