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Finding the Fourth Proportional to 339,808, 509,773.52 and 140,017.28

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Solution

The fourth proportional to 339,808, 509,773.52 and 140,017.28 is: 210,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,808 : 509,773.52 = 140,017.28 : x
  2. Step 2: Convert to fraction form
    339,808/509,773.52 = 140,017.28/x
  3. Step 3: Cross multiply
    339,808x = 509,773.52 × 140,017.28
  4. Step 4: Simplify right side
    339,808x = 71,377,101,686.43
  5. Step 5: Solve for x
    x = 71,377,101,686.43/339,808
  6. Step 6: Final answer
    x = 210,051.27

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Why These Related Problems?

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