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Finding the Fourth Proportional to 511,188.30, 705,424.14 and 320,306.94

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Solution

The fourth proportional to 511,188.30, 705,424.14 and 320,306.94 is: 442,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,188.30 : 705,424.14 = 320,306.94 : x
  2. Step 2: Convert to fraction form
    511,188.30/705,424.14 = 320,306.94/x
  3. Step 3: Cross multiply
    511,188.30x = 705,424.14 × 320,306.94
  4. Step 4: Simplify right side
    511,188.30x = 225,952,247,685.53
  5. Step 5: Solve for x
    x = 225,952,247,685.53/511,188.30
  6. Step 6: Final answer
    x = 442,013.73

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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.