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Finding the Fourth Proportional to 294,933, 407,007.06 and 167,608.68

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Solution

The fourth proportional to 294,933, 407,007.06 and 167,608.68 is: 231,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,933 : 407,007.06 = 167,608.68 : x
  2. Step 2: Convert to fraction form
    294,933/407,007.06 = 167,608.68/x
  3. Step 3: Cross multiply
    294,933x = 407,007.06 × 167,608.68
  4. Step 4: Simplify right side
    294,933x = 68,217,916,077.28
  5. Step 5: Solve for x
    x = 68,217,916,077.28/294,933
  6. Step 6: Final answer
    x = 231,299.71

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1.5x scale

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.