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Finding the Fourth Proportional to 356,860.36, 492,473.60 and 195,714

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Solution

The fourth proportional to 356,860.36, 492,473.60 and 195,714 is: 270,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,860.36 : 492,473.60 = 195,714 : x
  2. Step 2: Convert to fraction form
    356,860.36/492,473.60 = 195,714/x
  3. Step 3: Cross multiply
    356,860.36x = 492,473.60 × 195,714
  4. Step 4: Simplify right side
    356,860.36x = 96,383,978,150.40
  5. Step 5: Solve for x
    x = 96,383,978,150.40/356,860.36
  6. Step 6: Final answer
    x = 270,088.78

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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.