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Finding the Fourth Proportional to 321,460.58, 482,291.28 and 193,516.97

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Solution

The fourth proportional to 321,460.58, 482,291.28 and 193,516.97 is: 290,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,460.58 : 482,291.28 = 193,516.97 : x
  2. Step 2: Convert to fraction form
    321,460.58/482,291.28 = 193,516.97/x
  3. Step 3: Cross multiply
    321,460.58x = 482,291.28 × 193,516.97
  4. Step 4: Simplify right side
    321,460.58x = 93,331,544,751.57
  5. Step 5: Solve for x
    x = 93,331,544,751.57/321,460.58
  6. Step 6: Final answer
    x = 290,335.89

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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.