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Finding the Fourth Proportional to 305,541, 421,649.46 and 171,407.88

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Solution

The fourth proportional to 305,541, 421,649.46 and 171,407.88 is: 236,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,541 : 421,649.46 = 171,407.88 : x
  2. Step 2: Convert to fraction form
    305,541/421,649.46 = 171,407.88/x
  3. Step 3: Cross multiply
    305,541x = 421,649.46 × 171,407.88
  4. Step 4: Simplify right side
    305,541x = 72,274,040,041.74
  5. Step 5: Solve for x
    x = 72,274,040,041.74/305,541
  6. Step 6: Final answer
    x = 236,544.49

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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.