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Finding the Fourth Proportional to 589,989.77, 814,184.38 and 321,717.77

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Solution

The fourth proportional to 589,989.77, 814,184.38 and 321,717.77 is: 443,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,989.77 : 814,184.38 = 321,717.77 : x
  2. Step 2: Convert to fraction form
    589,989.77/814,184.38 = 321,717.77/x
  3. Step 3: Cross multiply
    589,989.77x = 814,184.38 × 321,717.77
  4. Step 4: Simplify right side
    589,989.77x = 261,937,583,102.43
  5. Step 5: Solve for x
    x = 261,937,583,102.43/589,989.77
  6. Step 6: Final answer
    x = 443,969.70

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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.