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Finding the Fourth Proportional to 314,399.27, 433,857.38 and 171,159.81

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Solution

The fourth proportional to 314,399.27, 433,857.38 and 171,159.81 is: 236,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,399.27 : 433,857.38 = 171,159.81 : x
  2. Step 2: Convert to fraction form
    314,399.27/433,857.38 = 171,159.81/x
  3. Step 3: Cross multiply
    314,399.27x = 433,857.38 × 171,159.81
  4. Step 4: Simplify right side
    314,399.27x = 74,258,945,872.10
  5. Step 5: Solve for x
    x = 74,258,945,872.10/314,399.27
  6. Step 6: Final answer
    x = 236,193.13

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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.