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Finding the Fourth Proportional to 397,235.70, 595,055.75 and 183,704.31

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Solution

The fourth proportional to 397,235.70, 595,055.75 and 183,704.31 is: 275,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,235.70 : 595,055.75 = 183,704.31 : x
  2. Step 2: Convert to fraction form
    397,235.70/595,055.75 = 183,704.31/x
  3. Step 3: Cross multiply
    397,235.70x = 595,055.75 × 183,704.31
  4. Step 4: Simplify right side
    397,235.70x = 109,314,305,965.28
  5. Step 5: Solve for x
    x = 109,314,305,965.28/397,235.70
  6. Step 6: Final answer
    x = 275,187.52

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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.