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Finding the Fourth Proportional to 482,338.14, 665,855.19 and 321,461.34

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Solution

The fourth proportional to 482,338.14, 665,855.19 and 321,461.34 is: 443,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,338.14 : 665,855.19 = 321,461.34 : x
  2. Step 2: Convert to fraction form
    482,338.14/665,855.19 = 321,461.34/x
  3. Step 3: Cross multiply
    482,338.14x = 665,855.19 × 321,461.34
  4. Step 4: Simplify right side
    482,338.14x = 214,046,701,623.36
  5. Step 5: Solve for x
    x = 214,046,701,623.36/482,338.14
  6. Step 6: Final answer
    x = 443,768.97

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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.