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Finding the Fourth Proportional to 631,737, 947,769.66 and 188,505

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Solution

The fourth proportional to 631,737, 947,769.66 and 188,505 is: 282,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,737 : 947,769.66 = 188,505 : x
  2. Step 2: Convert to fraction form
    631,737/947,769.66 = 188,505/x
  3. Step 3: Cross multiply
    631,737x = 947,769.66 × 188,505
  4. Step 4: Simplify right side
    631,737x = 178,659,319,758.30
  5. Step 5: Solve for x
    x = 178,659,319,758.30/631,737
  6. Step 6: Final answer
    x = 282,806.48

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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.