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Finding the Fourth Proportional to 585,471.82, 807,930.54 and 330,817.54

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Solution

The fourth proportional to 585,471.82, 807,930.54 and 330,817.54 is: 456,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,471.82 : 807,930.54 = 330,817.54 : x
  2. Step 2: Convert to fraction form
    585,471.82/807,930.54 = 330,817.54/x
  3. Step 3: Cross multiply
    585,471.82x = 807,930.54 × 330,817.54
  4. Step 4: Simplify right side
    585,471.82x = 267,277,593,733.67
  5. Step 5: Solve for x
    x = 267,277,593,733.67/585,471.82
  6. Step 6: Final answer
    x = 456,516.58

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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.