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Finding the Fourth Proportional to 301,996.96, 416,744.40 and 167,869.60

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Solution

The fourth proportional to 301,996.96, 416,744.40 and 167,869.60 is: 231,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,996.96 : 416,744.40 = 167,869.60 : x
  2. Step 2: Convert to fraction form
    301,996.96/416,744.40 = 167,869.60/x
  3. Step 3: Cross multiply
    301,996.96x = 416,744.40 × 167,869.60
  4. Step 4: Simplify right side
    301,996.96x = 69,958,715,730.24
  5. Step 5: Solve for x
    x = 69,958,715,730.24/301,996.96
  6. Step 6: Final answer
    x = 231,653.71

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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.