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Finding the Fourth Proportional to 314,310.89, 433,749.05 and 171,071.98

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Solution

The fourth proportional to 314,310.89, 433,749.05 and 171,071.98 is: 236,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,310.89 : 433,749.05 = 171,071.98 : x
  2. Step 2: Convert to fraction form
    314,310.89/433,749.05 = 171,071.98/x
  3. Step 3: Cross multiply
    314,310.89x = 433,749.05 × 171,071.98
  4. Step 4: Simplify right side
    314,310.89x = 74,202,308,806.62
  5. Step 5: Solve for x
    x = 74,202,308,806.62/314,310.89
  6. Step 6: Final answer
    x = 236,079.34

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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.