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Finding the Fourth Proportional to 339,567.82, 509,035.05 and 114,771.86

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Solution

The fourth proportional to 339,567.82, 509,035.05 and 114,771.86 is: 172,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,567.82 : 509,035.05 = 114,771.86 : x
  2. Step 2: Convert to fraction form
    339,567.82/509,035.05 = 114,771.86/x
  3. Step 3: Cross multiply
    339,567.82x = 509,035.05 × 114,771.86
  4. Step 4: Simplify right side
    339,567.82x = 58,422,898,919.83
  5. Step 5: Solve for x
    x = 58,422,898,919.83/339,567.82
  6. Step 6: Final answer
    x = 172,050.75

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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.