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Finding the Fourth Proportional to 406,589.85, 609,914.75 and 107,068.37

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Solution

The fourth proportional to 406,589.85, 609,914.75 and 107,068.37 is: 160,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,589.85 : 609,914.75 = 107,068.37 : x
  2. Step 2: Convert to fraction form
    406,589.85/609,914.75 = 107,068.37/x
  3. Step 3: Cross multiply
    406,589.85x = 609,914.75 × 107,068.37
  4. Step 4: Simplify right side
    406,589.85x = 65,302,574,536.54
  5. Step 5: Solve for x
    x = 65,302,574,536.54/406,589.85
  6. Step 6: Final answer
    x = 160,610.44

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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.