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Finding the Fourth Proportional to 422,866.44, 583,550.73 and 231,878.16

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Solution

The fourth proportional to 422,866.44, 583,550.73 and 231,878.16 is: 319,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,866.44 : 583,550.73 = 231,878.16 : x
  2. Step 2: Convert to fraction form
    422,866.44/583,550.73 = 231,878.16/x
  3. Step 3: Cross multiply
    422,866.44x = 583,550.73 × 231,878.16
  4. Step 4: Simplify right side
    422,866.44x = 135,312,669,539.06
  5. Step 5: Solve for x
    x = 135,312,669,539.06/422,866.44
  6. Step 6: Final answer
    x = 319,989.14

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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.