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Finding the Fourth Proportional to 230,591.49, 343,594.82 and 205,438.26

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Solution

The fourth proportional to 230,591.49, 343,594.82 and 205,438.26 is: 306,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,591.49 : 343,594.82 = 205,438.26 : x
  2. Step 2: Convert to fraction form
    230,591.49/343,594.82 = 205,438.26/x
  3. Step 3: Cross multiply
    230,591.49x = 343,594.82 × 205,438.26
  4. Step 4: Simplify right side
    230,591.49x = 70,587,521,965.81
  5. Step 5: Solve for x
    x = 70,587,521,965.81/230,591.49
  6. Step 6: Final answer
    x = 306,115.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.