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Finding the Fourth Proportional to 589,548.40, 883,990.40 and 205,120.96

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Solution

The fourth proportional to 589,548.40, 883,990.40 and 205,120.96 is: 307,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,548.40 : 883,990.40 = 205,120.96 : x
  2. Step 2: Convert to fraction form
    589,548.40/883,990.40 = 205,120.96/x
  3. Step 3: Cross multiply
    589,548.40x = 883,990.40 × 205,120.96
  4. Step 4: Simplify right side
    589,548.40x = 181,324,959,478.78
  5. Step 5: Solve for x
    x = 181,324,959,478.78/589,548.40
  6. Step 6: Final answer
    x = 307,565.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.