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Finding the Fourth Proportional to 589,280.50, 813,207.09 and 321,008.50

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Solution

The fourth proportional to 589,280.50, 813,207.09 and 321,008.50 is: 442,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,280.50 : 813,207.09 = 321,008.50 : x
  2. Step 2: Convert to fraction form
    589,280.50/813,207.09 = 321,008.50/x
  3. Step 3: Cross multiply
    589,280.50x = 813,207.09 × 321,008.50
  4. Step 4: Simplify right side
    589,280.50x = 261,046,388,150.27
  5. Step 5: Solve for x
    x = 261,046,388,150.27/589,280.50
  6. Step 6: Final answer
    x = 442,991.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.