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Finding the Fourth Proportional to 301,945.12, 416,689.44 and 165,984.80

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Solution

The fourth proportional to 301,945.12, 416,689.44 and 165,984.80 is: 229,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,945.12 : 416,689.44 = 165,984.80 : x
  2. Step 2: Convert to fraction form
    301,945.12/416,689.44 = 165,984.80/x
  3. Step 3: Cross multiply
    301,945.12x = 416,689.44 × 165,984.80
  4. Step 4: Simplify right side
    301,945.12x = 69,164,111,277.06
  5. Step 5: Solve for x
    x = 69,164,111,277.06/301,945.12
  6. Step 6: Final answer
    x = 229,061.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.