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Finding the Fourth Proportional to 301,849.56, 416,552.28 and 167,713.56

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Solution

The fourth proportional to 301,849.56, 416,552.28 and 167,713.56 is: 231,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,849.56 : 416,552.28 = 167,713.56 : x
  2. Step 2: Convert to fraction form
    301,849.56/416,552.28 = 167,713.56/x
  3. Step 3: Cross multiply
    301,849.56x = 416,552.28 × 167,713.56
  4. Step 4: Simplify right side
    301,849.56x = 69,861,465,804.92
  5. Step 5: Solve for x
    x = 69,861,465,804.92/301,849.56
  6. Step 6: Final answer
    x = 231,444.65

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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.