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Finding the Fourth Proportional to 314,020.98, 433,339.68 and 178,067.34

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Solution

The fourth proportional to 314,020.98, 433,339.68 and 178,067.34 is: 245,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,020.98 : 433,339.68 = 178,067.34 : x
  2. Step 2: Convert to fraction form
    314,020.98/433,339.68 = 178,067.34/x
  3. Step 3: Cross multiply
    314,020.98x = 433,339.68 × 178,067.34
  4. Step 4: Simplify right side
    314,020.98x = 77,163,644,134.05
  5. Step 5: Solve for x
    x = 77,163,644,134.05/314,020.98
  6. Step 6: Final answer
    x = 245,727.67

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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.