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Finding the Fourth Proportional to 413,607.44, 570,765.81 and 229,845.39

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Solution

The fourth proportional to 413,607.44, 570,765.81 and 229,845.39 is: 317,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,607.44 : 570,765.81 = 229,845.39 : x
  2. Step 2: Convert to fraction form
    413,607.44/570,765.81 = 229,845.39/x
  3. Step 3: Cross multiply
    413,607.44x = 570,765.81 × 229,845.39
  4. Step 4: Simplify right side
    413,607.44x = 131,187,890,198.12
  5. Step 5: Solve for x
    x = 131,187,890,198.12/413,607.44
  6. Step 6: Final answer
    x = 317,179.72

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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.