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Finding the Fourth Proportional to 309,467.85, 464,203.50 and 140,870.28

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Solution

The fourth proportional to 309,467.85, 464,203.50 and 140,870.28 is: 211,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,467.85 : 464,203.50 = 140,870.28 : x
  2. Step 2: Convert to fraction form
    309,467.85/464,203.50 = 140,870.28/x
  3. Step 3: Cross multiply
    309,467.85x = 464,203.50 × 140,870.28
  4. Step 4: Simplify right side
    309,467.85x = 65,392,477,021.98
  5. Step 5: Solve for x
    x = 65,392,477,021.98/309,467.85
  6. Step 6: Final answer
    x = 211,306.21

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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.