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Finding the Fourth Proportional to 356,958.32, 492,609.06 and 195,821.60

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Solution

The fourth proportional to 356,958.32, 492,609.06 and 195,821.60 is: 270,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,958.32 : 492,609.06 = 195,821.60 : x
  2. Step 2: Convert to fraction form
    356,958.32/492,609.06 = 195,821.60/x
  3. Step 3: Cross multiply
    356,958.32x = 492,609.06 × 195,821.60
  4. Step 4: Simplify right side
    356,958.32x = 96,463,494,303.70
  5. Step 5: Solve for x
    x = 96,463,494,303.70/356,958.32
  6. Step 6: Final answer
    x = 270,237.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.