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Finding the Fourth Proportional to 301,955.33, 416,699.70 and 165,998.03

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Solution

The fourth proportional to 301,955.33, 416,699.70 and 165,998.03 is: 229,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,955.33 : 416,699.70 = 165,998.03 : x
  2. Step 2: Convert to fraction form
    301,955.33/416,699.70 = 165,998.03/x
  3. Step 3: Cross multiply
    301,955.33x = 416,699.70 × 165,998.03
  4. Step 4: Simplify right side
    301,955.33x = 69,171,327,218.09
  5. Step 5: Solve for x
    x = 69,171,327,218.09/301,955.33
  6. Step 6: Final answer
    x = 229,078.02

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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.