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Finding the Fourth Proportional to 314,245.10, 433,667.28 and 171,014.22

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Solution

The fourth proportional to 314,245.10, 433,667.28 and 171,014.22 is: 236,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,245.10 : 433,667.28 = 171,014.22 : x
  2. Step 2: Convert to fraction form
    314,245.10/433,667.28 = 171,014.22/x
  3. Step 3: Cross multiply
    314,245.10x = 433,667.28 × 171,014.22
  4. Step 4: Simplify right side
    314,245.10x = 74,163,271,628.72
  5. Step 5: Solve for x
    x = 74,163,271,628.72/314,245.10
  6. Step 6: Final answer
    x = 236,004.54

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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.