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Finding the Fourth Proportional to 301,921.96, 416,643.73 and 165,955.87

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Solution

The fourth proportional to 301,921.96, 416,643.73 and 165,955.87 is: 229,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,921.96 : 416,643.73 = 165,955.87 : x
  2. Step 2: Convert to fraction form
    301,921.96/416,643.73 = 165,955.87/x
  3. Step 3: Cross multiply
    301,921.96x = 416,643.73 × 165,955.87
  4. Step 4: Simplify right side
    301,921.96x = 69,144,470,608.98
  5. Step 5: Solve for x
    x = 69,144,470,608.98/301,921.96
  6. Step 6: Final answer
    x = 229,014.38

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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.