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Finding the Fourth Proportional to 306,223.56, 422,644.10 and 177,146.82

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Solution

The fourth proportional to 306,223.56, 422,644.10 and 177,146.82 is: 244,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,223.56 : 422,644.10 = 177,146.82 : x
  2. Step 2: Convert to fraction form
    306,223.56/422,644.10 = 177,146.82/x
  3. Step 3: Cross multiply
    306,223.56x = 422,644.10 × 177,146.82
  4. Step 4: Simplify right side
    306,223.56x = 74,870,057,421.03
  5. Step 5: Solve for x
    x = 74,870,057,421.03/306,223.56
  6. Step 6: Final answer
    x = 244,494.77

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1.5x scale

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.