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Finding the Fourth Proportional to 465,019.46, 697,352.14 and 275,533.31

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Solution

The fourth proportional to 465,019.46, 697,352.14 and 275,533.31 is: 413,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,019.46 : 697,352.14 = 275,533.31 : x
  2. Step 2: Convert to fraction form
    465,019.46/697,352.14 = 275,533.31/x
  3. Step 3: Cross multiply
    465,019.46x = 697,352.14 × 275,533.31
  4. Step 4: Simplify right side
    465,019.46x = 192,143,738,505.36
  5. Step 5: Solve for x
    x = 192,143,738,505.36/465,019.46
  6. Step 6: Final answer
    x = 413,195.05

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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.