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Finding the Fourth Proportional to 589,448.37, 813,438.73 and 321,176.37

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Solution

The fourth proportional to 589,448.37, 813,438.73 and 321,176.37 is: 443,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,448.37 : 813,438.73 = 321,176.37 : x
  2. Step 2: Convert to fraction form
    589,448.37/813,438.73 = 321,176.37/x
  3. Step 3: Cross multiply
    589,448.37x = 813,438.73 × 321,176.37
  4. Step 4: Simplify right side
    589,448.37x = 261,257,298,518.81
  5. Step 5: Solve for x
    x = 261,257,298,518.81/589,448.37
  6. Step 6: Final answer
    x = 443,223.38

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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.