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Finding the Fourth Proportional to 314,198.36, 433,601.50 and 170,966.26

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Solution

The fourth proportional to 314,198.36, 433,601.50 and 170,966.26 is: 235,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,198.36 : 433,601.50 = 170,966.26 : x
  2. Step 2: Convert to fraction form
    314,198.36/433,601.50 = 170,966.26/x
  3. Step 3: Cross multiply
    314,198.36x = 433,601.50 × 170,966.26
  4. Step 4: Simplify right side
    314,198.36x = 74,131,226,785.39
  5. Step 5: Solve for x
    x = 74,131,226,785.39/314,198.36
  6. Step 6: Final answer
    x = 235,937.66

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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.