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Finding the Fourth Proportional to 305,415.10, 421,458.60 and 169,447.60

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Solution

The fourth proportional to 305,415.10, 421,458.60 and 169,447.60 is: 233,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,415.10 : 421,458.60 = 169,447.60 : x
  2. Step 2: Convert to fraction form
    305,415.10/421,458.60 = 169,447.60/x
  3. Step 3: Cross multiply
    305,415.10x = 421,458.60 × 169,447.60
  4. Step 4: Simplify right side
    305,415.10x = 71,415,148,269.36
  5. Step 5: Solve for x
    x = 71,415,148,269.36/305,415.10
  6. Step 6: Final answer
    x = 233,829.79

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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.