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Finding the Fourth Proportional to 465,021.70, 697,355.49 and 275,535.54

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Solution

The fourth proportional to 465,021.70, 697,355.49 and 275,535.54 is: 413,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,021.70 : 697,355.49 = 275,535.54 : x
  2. Step 2: Convert to fraction form
    465,021.70/697,355.49 = 275,535.54/x
  3. Step 3: Cross multiply
    465,021.70x = 697,355.49 × 275,535.54
  4. Step 4: Simplify right side
    465,021.70x = 192,146,221,509.12
  5. Step 5: Solve for x
    x = 192,146,221,509.12/465,021.70
  6. Step 6: Final answer
    x = 413,198.40

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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.