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Finding the Fourth Proportional to 469,209.42, 703,912.55 and 203,007.78

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Solution

The fourth proportional to 469,209.42, 703,912.55 and 203,007.78 is: 304,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,209.42 : 703,912.55 = 203,007.78 : x
  2. Step 2: Convert to fraction form
    469,209.42/703,912.55 = 203,007.78/x
  3. Step 3: Cross multiply
    469,209.42x = 703,912.55 × 203,007.78
  4. Step 4: Simplify right side
    469,209.42x = 142,899,723,074.60
  5. Step 5: Solve for x
    x = 142,899,723,074.60/469,209.42
  6. Step 6: Final answer
    x = 304,554.25

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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.