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Finding the Fourth Proportional to 386,816.72, 580,222.47 and 210,444.73

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Solution

The fourth proportional to 386,816.72, 580,222.47 and 210,444.73 is: 315,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,816.72 : 580,222.47 = 210,444.73 : x
  2. Step 2: Convert to fraction form
    386,816.72/580,222.47 = 210,444.73/x
  3. Step 3: Cross multiply
    386,816.72x = 580,222.47 × 210,444.73
  4. Step 4: Simplify right side
    386,816.72x = 122,104,761,865.82
  5. Step 5: Solve for x
    x = 122,104,761,865.82/386,816.72
  6. Step 6: Final answer
    x = 315,665.68

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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.