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Finding the Fourth Proportional to 631,735, 947,766.66 and 188,503

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Solution

The fourth proportional to 631,735, 947,766.66 and 188,503 is: 282,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,735 : 947,766.66 = 188,503 : x
  2. Step 2: Convert to fraction form
    631,735/947,766.66 = 188,503/x
  3. Step 3: Cross multiply
    631,735x = 947,766.66 × 188,503
  4. Step 4: Simplify right side
    631,735x = 178,656,858,709.98
  5. Step 5: Solve for x
    x = 178,656,858,709.98/631,735
  6. Step 6: Final answer
    x = 282,803.48

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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.