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Finding the Fourth Proportional to 314,777.72, 434,382.22 and 171,534.84

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Solution

The fourth proportional to 314,777.72, 434,382.22 and 171,534.84 is: 236,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,777.72 : 434,382.22 = 171,534.84 : x
  2. Step 2: Convert to fraction form
    314,777.72/434,382.22 = 171,534.84/x
  3. Step 3: Cross multiply
    314,777.72x = 434,382.22 × 171,534.84
  4. Step 4: Simplify right side
    314,777.72x = 74,511,684,606.54
  5. Step 5: Solve for x
    x = 74,511,684,606.54/314,777.72
  6. Step 6: Final answer
    x = 236,712.07

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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.