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Finding the Fourth Proportional to 414,054.88, 621,082.54 and 129,767.58

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Solution

The fourth proportional to 414,054.88, 621,082.54 and 129,767.58 is: 194,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,054.88 : 621,082.54 = 129,767.58 : x
  2. Step 2: Convert to fraction form
    414,054.88/621,082.54 = 129,767.58/x
  3. Step 3: Cross multiply
    414,054.88x = 621,082.54 × 129,767.58
  4. Step 4: Simplify right side
    414,054.88x = 80,596,377,458.55
  5. Step 5: Solve for x
    x = 80,596,377,458.55/414,054.88
  6. Step 6: Final answer
    x = 194,651.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.