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Finding the Fourth Proportional to 294,209.80, 441,319.02 and 72,593.80

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Solution

The fourth proportional to 294,209.80, 441,319.02 and 72,593.80 is: 108,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,209.80 : 441,319.02 = 72,593.80 : x
  2. Step 2: Convert to fraction form
    294,209.80/441,319.02 = 72,593.80/x
  3. Step 3: Cross multiply
    294,209.80x = 441,319.02 × 72,593.80
  4. Step 4: Simplify right side
    294,209.80x = 32,037,024,674.08
  5. Step 5: Solve for x
    x = 32,037,024,674.08/294,209.80
  6. Step 6: Final answer
    x = 108,891.77

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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.