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Finding the Fourth Proportional to 314,973.30, 434,655.30 and 171,736.14

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Solution

The fourth proportional to 314,973.30, 434,655.30 and 171,736.14 is: 236,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,973.30 : 434,655.30 = 171,736.14 : x
  2. Step 2: Convert to fraction form
    314,973.30/434,655.30 = 171,736.14/x
  3. Step 3: Cross multiply
    314,973.30x = 434,655.30 × 171,736.14
  4. Step 4: Simplify right side
    314,973.30x = 74,646,023,452.54
  5. Step 5: Solve for x
    x = 74,646,023,452.54/314,973.30
  6. Step 6: Final answer
    x = 236,991.59

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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.