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Finding the Fourth Proportional to 412,420.46, 617,825.26 and 195,971.26

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Solution

The fourth proportional to 412,420.46, 617,825.26 and 195,971.26 is: 293,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,420.46 : 617,825.26 = 195,971.26 : x
  2. Step 2: Convert to fraction form
    412,420.46/617,825.26 = 195,971.26/x
  3. Step 3: Cross multiply
    412,420.46x = 617,825.26 × 195,971.26
  4. Step 4: Simplify right side
    412,420.46x = 121,075,994,662.03
  5. Step 5: Solve for x
    x = 121,075,994,662.03/412,420.46
  6. Step 6: Final answer
    x = 293,574.17

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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.