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Finding the Fourth Proportional to 307,951.67, 421,886.75 and 296,438.33

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Solution

The fourth proportional to 307,951.67, 421,886.75 and 296,438.33 is: 406,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,951.67 : 421,886.75 = 296,438.33 : x
  2. Step 2: Convert to fraction form
    307,951.67/421,886.75 = 296,438.33/x
  3. Step 3: Cross multiply
    307,951.67x = 421,886.75 × 296,438.33
  4. Step 4: Simplify right side
    307,951.67x = 125,063,403,191.65
  5. Step 5: Solve for x
    x = 125,063,403,191.65/307,951.67
  6. Step 6: Final answer
    x = 406,113.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.