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Finding the Fourth Proportional to 589,494.40, 885,163.20 and 340,662.40

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Solution

The fourth proportional to 589,494.40, 885,163.20 and 340,662.40 is: 511,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,494.40 : 885,163.20 = 340,662.40 : x
  2. Step 2: Convert to fraction form
    589,494.40/885,163.20 = 340,662.40/x
  3. Step 3: Cross multiply
    589,494.40x = 885,163.20 × 340,662.40
  4. Step 4: Simplify right side
    589,494.40x = 301,541,820,103.68
  5. Step 5: Solve for x
    x = 301,541,820,103.68/589,494.40
  6. Step 6: Final answer
    x = 511,526.18

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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.