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Finding the Fourth Proportional to 230,576.32, 343,572.31 and 205,423.08

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Solution

The fourth proportional to 230,576.32, 343,572.31 and 205,423.08 is: 306,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,576.32 : 343,572.31 = 205,423.08 : x
  2. Step 2: Convert to fraction form
    230,576.32/343,572.31 = 205,423.08/x
  3. Step 3: Cross multiply
    230,576.32x = 343,572.31 × 205,423.08
  4. Step 4: Simplify right side
    230,576.32x = 70,577,682,122.91
  5. Step 5: Solve for x
    x = 70,577,682,122.91/230,576.32
  6. Step 6: Final answer
    x = 306,092.50

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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.