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Finding the Fourth Proportional to 589,446.24, 813,435.81 and 321,174.24

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Solution

The fourth proportional to 589,446.24, 813,435.81 and 321,174.24 is: 443,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,446.24 : 813,435.81 = 321,174.24 : x
  2. Step 2: Convert to fraction form
    589,446.24/813,435.81 = 321,174.24/x
  3. Step 3: Cross multiply
    589,446.24x = 813,435.81 × 321,174.24
  4. Step 4: Simplify right side
    589,446.24x = 261,254,626,219.55
  5. Step 5: Solve for x
    x = 261,254,626,219.55/589,446.24
  6. Step 6: Final answer
    x = 443,220.45

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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.