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Finding the Fourth Proportional to 320,841.59, 481,735.49 and 178,964.07

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Solution

The fourth proportional to 320,841.59, 481,735.49 and 178,964.07 is: 268,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,841.59 : 481,735.49 = 178,964.07 : x
  2. Step 2: Convert to fraction form
    320,841.59/481,735.49 = 178,964.07/x
  3. Step 3: Cross multiply
    320,841.59x = 481,735.49 × 178,964.07
  4. Step 4: Simplify right side
    320,841.59x = 86,213,343,059.02
  5. Step 5: Solve for x
    x = 86,213,343,059.02/320,841.59
  6. Step 6: Final answer
    x = 268,710.00

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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.