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Finding the Fourth Proportional to 339,017.94, 467,909.26 and 224,298.86

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Solution

The fourth proportional to 339,017.94, 467,909.26 and 224,298.86 is: 309,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,017.94 : 467,909.26 = 224,298.86 : x
  2. Step 2: Convert to fraction form
    339,017.94/467,909.26 = 224,298.86/x
  3. Step 3: Cross multiply
    339,017.94x = 467,909.26 × 224,298.86
  4. Step 4: Simplify right side
    339,017.94x = 104,951,510,701.15
  5. Step 5: Solve for x
    x = 104,951,510,701.15/339,017.94
  6. Step 6: Final answer
    x = 309,575.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.