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Finding the Fourth Proportional to 339,701.30, 509,422.35 and 102,965.30

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Solution

The fourth proportional to 339,701.30, 509,422.35 and 102,965.30 is: 154,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,701.30 : 509,422.35 = 102,965.30 : x
  2. Step 2: Convert to fraction form
    339,701.30/509,422.35 = 102,965.30/x
  3. Step 3: Cross multiply
    339,701.30x = 509,422.35 × 102,965.30
  4. Step 4: Simplify right side
    339,701.30x = 52,452,825,094.46
  5. Step 5: Solve for x
    x = 52,452,825,094.46/339,701.30
  6. Step 6: Final answer
    x = 154,408.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.