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Finding the Fourth Proportional to 446,107.80, 668,751.06 and 193,229.40

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Solution

The fourth proportional to 446,107.80, 668,751.06 and 193,229.40 is: 289,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,107.80 : 668,751.06 = 193,229.40 : x
  2. Step 2: Convert to fraction form
    446,107.80/668,751.06 = 193,229.40/x
  3. Step 3: Cross multiply
    446,107.80x = 668,751.06 × 193,229.40
  4. Step 4: Simplify right side
    446,107.80x = 129,222,366,073.16
  5. Step 5: Solve for x
    x = 129,222,366,073.16/446,107.80
  6. Step 6: Final answer
    x = 289,666.23

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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.