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Finding the Fourth Proportional to 321,598.42, 482,467.28 and 96,940.06

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Solution

The fourth proportional to 321,598.42, 482,467.28 and 96,940.06 is: 145,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,598.42 : 482,467.28 = 96,940.06 : x
  2. Step 2: Convert to fraction form
    321,598.42/482,467.28 = 96,940.06/x
  3. Step 3: Cross multiply
    321,598.42x = 482,467.28 × 96,940.06
  4. Step 4: Simplify right side
    321,598.42x = 46,770,404,174.20
  5. Step 5: Solve for x
    x = 46,770,404,174.20/321,598.42
  6. Step 6: Final answer
    x = 145,431.08

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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.