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Finding the Fourth Proportional to 289,693.80, 434,022.30 and 245,111.40

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Solution

The fourth proportional to 289,693.80, 434,022.30 and 245,111.40 is: 367,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,693.80 : 434,022.30 = 245,111.40 : x
  2. Step 2: Convert to fraction form
    289,693.80/434,022.30 = 245,111.40/x
  3. Step 3: Cross multiply
    289,693.80x = 434,022.30 × 245,111.40
  4. Step 4: Simplify right side
    289,693.80x = 106,383,813,584.22
  5. Step 5: Solve for x
    x = 106,383,813,584.22/289,693.80
  6. Step 6: Final answer
    x = 367,228.48

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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.