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Finding the Fourth Proportional to 422,322.58, 633,545.64 and 122,764.24

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Solution

The fourth proportional to 422,322.58, 633,545.64 and 122,764.24 is: 184,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,322.58 : 633,545.64 = 122,764.24 : x
  2. Step 2: Convert to fraction form
    422,322.58/633,545.64 = 122,764.24/x
  3. Step 3: Cross multiply
    422,322.58x = 633,545.64 × 122,764.24
  4. Step 4: Simplify right side
    422,322.58x = 77,776,747,416.05
  5. Step 5: Solve for x
    x = 77,776,747,416.05/422,322.58
  6. Step 6: Final answer
    x = 184,164.31

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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.