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Finding the Fourth Proportional to 230,586.23, 343,586.99 and 205,433

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Solution

The fourth proportional to 230,586.23, 343,586.99 and 205,433 is: 306,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,586.23 : 343,586.99 = 205,433 : x
  2. Step 2: Convert to fraction form
    230,586.23/343,586.99 = 205,433/x
  3. Step 3: Cross multiply
    230,586.23x = 343,586.99 × 205,433
  4. Step 4: Simplify right side
    230,586.23x = 70,584,106,116.67
  5. Step 5: Solve for x
    x = 70,584,106,116.67/230,586.23
  6. Step 6: Final answer
    x = 306,107.20

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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.