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Finding the Fourth Proportional to 511,223.40, 705,540.78 and 307,340.73

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Solution

The fourth proportional to 511,223.40, 705,540.78 and 307,340.73 is: 424,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,223.40 : 705,540.78 = 307,340.73 : x
  2. Step 2: Convert to fraction form
    511,223.40/705,540.78 = 307,340.73/x
  3. Step 3: Cross multiply
    511,223.40x = 705,540.78 × 307,340.73
  4. Step 4: Simplify right side
    511,223.40x = 216,841,418,369.97
  5. Step 5: Solve for x
    x = 216,841,418,369.97/511,223.40
  6. Step 6: Final answer
    x = 424,161.76

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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.