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Finding the Fourth Proportional to 317,015.04, 437,485.68 and 189,696

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Solution

The fourth proportional to 317,015.04, 437,485.68 and 189,696 is: 261,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,015.04 : 437,485.68 = 189,696 : x
  2. Step 2: Convert to fraction form
    317,015.04/437,485.68 = 189,696/x
  3. Step 3: Cross multiply
    317,015.04x = 437,485.68 × 189,696
  4. Step 4: Simplify right side
    317,015.04x = 82,989,283,553.28
  5. Step 5: Solve for x
    x = 82,989,283,553.28/317,015.04
  6. Step 6: Final answer
    x = 261,783.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.