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Finding the Fourth Proportional to 406,383.06, 609,530.85 and 122,043.90

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Solution

The fourth proportional to 406,383.06, 609,530.85 and 122,043.90 is: 183,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,383.06 : 609,530.85 = 122,043.90 : x
  2. Step 2: Convert to fraction form
    406,383.06/609,530.85 = 122,043.90/x
  3. Step 3: Cross multiply
    406,383.06x = 609,530.85 × 122,043.90
  4. Step 4: Simplify right side
    406,383.06x = 74,389,522,104.32
  5. Step 5: Solve for x
    x = 74,389,522,104.32/406,383.06
  6. Step 6: Final answer
    x = 183,052.71

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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.