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Finding the Fourth Proportional to 314,411.31, 433,873.89 and 171,171.81

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Solution

The fourth proportional to 314,411.31, 433,873.89 and 171,171.81 is: 236,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411.31 : 433,873.89 = 171,171.81 : x
  2. Step 2: Convert to fraction form
    314,411.31/433,873.89 = 171,171.81/x
  3. Step 3: Cross multiply
    314,411.31x = 433,873.89 × 171,171.81
  4. Step 4: Simplify right side
    314,411.31x = 74,266,979,063.04
  5. Step 5: Solve for x
    x = 74,266,979,063.04/314,411.31
  6. Step 6: Final answer
    x = 236,209.63

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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.