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Finding the Fourth Proportional to 345,321.69, 476,617.44 and 232,078.83

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Solution

The fourth proportional to 345,321.69, 476,617.44 and 232,078.83 is: 320,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,321.69 : 476,617.44 = 232,078.83 : x
  2. Step 2: Convert to fraction form
    345,321.69/476,617.44 = 232,078.83/x
  3. Step 3: Cross multiply
    345,321.69x = 476,617.44 × 232,078.83
  4. Step 4: Simplify right side
    345,321.69x = 110,612,817,832.80
  5. Step 5: Solve for x
    x = 110,612,817,832.80/345,321.69
  6. Step 6: Final answer
    x = 320,318.19

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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.