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Finding the Fourth Proportional to 302,546.89, 417,524.66 and 166,590.82

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Solution

The fourth proportional to 302,546.89, 417,524.66 and 166,590.82 is: 229,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,546.89 : 417,524.66 = 166,590.82 : x
  2. Step 2: Convert to fraction form
    302,546.89/417,524.66 = 166,590.82/x
  3. Step 3: Cross multiply
    302,546.89x = 417,524.66 × 166,590.82
  4. Step 4: Simplify right side
    302,546.89x = 69,555,775,479.62
  5. Step 5: Solve for x
    x = 69,555,775,479.62/302,546.89
  6. Step 6: Final answer
    x = 229,900.81

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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.