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Finding the Fourth Proportional to 309,609.30, 464,480.60 and 96,372.68

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Solution

The fourth proportional to 309,609.30, 464,480.60 and 96,372.68 is: 144,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,609.30 : 464,480.60 = 96,372.68 : x
  2. Step 2: Convert to fraction form
    309,609.30/464,480.60 = 96,372.68/x
  3. Step 3: Cross multiply
    309,609.30x = 464,480.60 × 96,372.68
  4. Step 4: Simplify right side
    309,609.30x = 44,763,237,425.74
  5. Step 5: Solve for x
    x = 44,763,237,425.74/309,609.30
  6. Step 6: Final answer
    x = 144,579.76

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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.