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Finding the Fourth Proportional to 309,023.10, 463,445.37 and 140,449.50

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Solution

The fourth proportional to 309,023.10, 463,445.37 and 140,449.50 is: 210,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,023.10 : 463,445.37 = 140,449.50 : x
  2. Step 2: Convert to fraction form
    309,023.10/463,445.37 = 140,449.50/x
  3. Step 3: Cross multiply
    309,023.10x = 463,445.37 × 140,449.50
  4. Step 4: Simplify right side
    309,023.10x = 65,090,670,493.82
  5. Step 5: Solve for x
    x = 65,090,670,493.82/309,023.10
  6. Step 6: Final answer
    x = 210,633.67

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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.