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Finding the Fourth Proportional to 294,205.80, 441,313.02 and 72,589.80

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Solution

The fourth proportional to 294,205.80, 441,313.02 and 72,589.80 is: 108,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,205.80 : 441,313.02 = 72,589.80 : x
  2. Step 2: Convert to fraction form
    294,205.80/441,313.02 = 72,589.80/x
  3. Step 3: Cross multiply
    294,205.80x = 441,313.02 × 72,589.80
  4. Step 4: Simplify right side
    294,205.80x = 32,034,823,859.20
  5. Step 5: Solve for x
    x = 32,034,823,859.20/294,205.80
  6. Step 6: Final answer
    x = 108,885.77

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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.