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Finding the Fourth Proportional to 301,588.09, 416,198.54 and 172,538.68

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Solution

The fourth proportional to 301,588.09, 416,198.54 and 172,538.68 is: 238,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,588.09 : 416,198.54 = 172,538.68 : x
  2. Step 2: Convert to fraction form
    301,588.09/416,198.54 = 172,538.68/x
  3. Step 3: Cross multiply
    301,588.09x = 416,198.54 × 172,538.68
  4. Step 4: Simplify right side
    301,588.09x = 71,810,346,709.53
  5. Step 5: Solve for x
    x = 71,810,346,709.53/301,588.09
  6. Step 6: Final answer
    x = 238,107.37

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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.