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Finding the Fourth Proportional to 301,466.19, 451,608.10 and 174,840.42

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Solution

The fourth proportional to 301,466.19, 451,608.10 and 174,840.42 is: 261,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,466.19 : 451,608.10 = 174,840.42 : x
  2. Step 2: Convert to fraction form
    301,466.19/451,608.10 = 174,840.42/x
  3. Step 3: Cross multiply
    301,466.19x = 451,608.10 × 174,840.42
  4. Step 4: Simplify right side
    301,466.19x = 78,959,349,879.40
  5. Step 5: Solve for x
    x = 78,959,349,879.40/301,466.19
  6. Step 6: Final answer
    x = 261,917.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.