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Finding the Fourth Proportional to 320,838.59, 481,730.99 and 178,961.06

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Solution

The fourth proportional to 320,838.59, 481,730.99 and 178,961.06 is: 268,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,838.59 : 481,730.99 = 178,961.06 : x
  2. Step 2: Convert to fraction form
    320,838.59/481,730.99 = 178,961.06/x
  3. Step 3: Cross multiply
    320,838.59x = 481,730.99 × 178,961.06
  4. Step 4: Simplify right side
    320,838.59x = 86,211,089,585.88
  5. Step 5: Solve for x
    x = 86,211,089,585.88/320,838.59
  6. Step 6: Final answer
    x = 268,705.49

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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.