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Finding the Fourth Proportional to 230,576.82, 343,573.05 and 205,423.58

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Solution

The fourth proportional to 230,576.82, 343,573.05 and 205,423.58 is: 306,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,576.82 : 343,573.05 = 205,423.58 : x
  2. Step 2: Convert to fraction form
    230,576.82/343,573.05 = 205,423.58/x
  3. Step 3: Cross multiply
    230,576.82x = 343,573.05 × 205,423.58
  4. Step 4: Simplify right side
    230,576.82x = 70,578,004,204.65
  5. Step 5: Solve for x
    x = 70,578,004,204.65/230,576.82
  6. Step 6: Final answer
    x = 306,093.23

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1.5x scale

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.