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Finding the Fourth Proportional to 309,016.82, 463,597.53 and 95,773.59

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Solution

The fourth proportional to 309,016.82, 463,597.53 and 95,773.59 is: 143,682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,016.82 : 463,597.53 = 95,773.59 : x
  2. Step 2: Convert to fraction form
    309,016.82/463,597.53 = 95,773.59/x
  3. Step 3: Cross multiply
    309,016.82x = 463,597.53 × 95,773.59
  4. Step 4: Simplify right side
    309,016.82x = 44,400,399,404.08
  5. Step 5: Solve for x
    x = 44,400,399,404.08/309,016.82
  6. Step 6: Final answer
    x = 143,682.79

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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.