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Finding the Fourth Proportional to 321,736.74, 482,645.34 and 97,096.82

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Solution

The fourth proportional to 321,736.74, 482,645.34 and 97,096.82 is: 145,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,736.74 : 482,645.34 = 97,096.82 : x
  2. Step 2: Convert to fraction form
    321,736.74/482,645.34 = 97,096.82/x
  3. Step 3: Cross multiply
    321,736.74x = 482,645.34 × 97,096.82
  4. Step 4: Simplify right side
    321,736.74x = 46,863,325,288.59
  5. Step 5: Solve for x
    x = 46,863,325,288.59/321,736.74
  6. Step 6: Final answer
    x = 145,657.36

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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.