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Finding the Fourth Proportional to 314,445.68, 433,945.68 and 171,211.28

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Solution

The fourth proportional to 314,445.68, 433,945.68 and 171,211.28 is: 236,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,445.68 : 433,945.68 = 171,211.28 : x
  2. Step 2: Convert to fraction form
    314,445.68/433,945.68 = 171,211.28/x
  3. Step 3: Cross multiply
    314,445.68x = 433,945.68 × 171,211.28
  4. Step 4: Simplify right side
    314,445.68x = 74,296,395,323.27
  5. Step 5: Solve for x
    x = 74,296,395,323.27/314,445.68
  6. Step 6: Final answer
    x = 236,277.36

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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.