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Finding the Fourth Proportional to 406,383.56, 609,531.60 and 122,044.40

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Solution

The fourth proportional to 406,383.56, 609,531.60 and 122,044.40 is: 183,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,383.56 : 609,531.60 = 122,044.40 : x
  2. Step 2: Convert to fraction form
    406,383.56/609,531.60 = 122,044.40/x
  3. Step 3: Cross multiply
    406,383.56x = 609,531.60 × 122,044.40
  4. Step 4: Simplify right side
    406,383.56x = 74,389,918,403.04
  5. Step 5: Solve for x
    x = 74,389,918,403.04/406,383.56
  6. Step 6: Final answer
    x = 183,053.46

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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.