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Finding the Fourth Proportional to 301,543.25, 416,111.04 and 165,576.65

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Solution

The fourth proportional to 301,543.25, 416,111.04 and 165,576.65 is: 228,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,543.25 : 416,111.04 = 165,576.65 : x
  2. Step 2: Convert to fraction form
    301,543.25/416,111.04 = 165,576.65/x
  3. Step 3: Cross multiply
    301,543.25x = 416,111.04 × 165,576.65
  4. Step 4: Simplify right side
    301,543.25x = 68,898,269,950.66
  5. Step 5: Solve for x
    x = 68,898,269,950.66/301,543.25
  6. Step 6: Final answer
    x = 228,485.54

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