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Finding the Fourth Proportional to 301,945.28, 416,689.66 and 165,984.95

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Solution

The fourth proportional to 301,945.28, 416,689.66 and 165,984.95 is: 229,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,945.28 : 416,689.66 = 165,984.95 : x
  2. Step 2: Convert to fraction form
    301,945.28/416,689.66 = 165,984.95/x
  3. Step 3: Cross multiply
    301,945.28x = 416,689.66 × 165,984.95
  4. Step 4: Simplify right side
    301,945.28x = 69,164,213,007.38
  5. Step 5: Solve for x
    x = 69,164,213,007.38/301,945.28
  6. Step 6: Final answer
    x = 229,062.08

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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.