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Finding the Fourth Proportional to 406,773.52, 610,090.90 and 107,257.03

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Solution

The fourth proportional to 406,773.52, 610,090.90 and 107,257.03 is: 160,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,773.52 : 610,090.90 = 107,257.03 : x
  2. Step 2: Convert to fraction form
    406,773.52/610,090.90 = 107,257.03/x
  3. Step 3: Cross multiply
    406,773.52x = 610,090.90 × 107,257.03
  4. Step 4: Simplify right side
    406,773.52x = 65,436,536,170.66
  5. Step 5: Solve for x
    x = 65,436,536,170.66/406,773.52
  6. Step 6: Final answer
    x = 160,867.25

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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.