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Finding the Fourth Proportional to 301,409.50, 415,945.11 and 167,273.50

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Solution

The fourth proportional to 301,409.50, 415,945.11 and 167,273.50 is: 230,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,409.50 : 415,945.11 = 167,273.50 : x
  2. Step 2: Convert to fraction form
    301,409.50/415,945.11 = 167,273.50/x
  3. Step 3: Cross multiply
    301,409.50x = 415,945.11 × 167,273.50
  4. Step 4: Simplify right side
    301,409.50x = 69,576,594,357.59
  5. Step 5: Solve for x
    x = 69,576,594,357.59/301,409.50
  6. Step 6: Final answer
    x = 230,837.43

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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.