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Finding the Fourth Proportional to 406,284.24, 609,419.88 and 110,796.24

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Solution

The fourth proportional to 406,284.24, 609,419.88 and 110,796.24 is: 166,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,284.24 : 609,419.88 = 110,796.24 : x
  2. Step 2: Convert to fraction form
    406,284.24/609,419.88 = 110,796.24/x
  3. Step 3: Cross multiply
    406,284.24x = 609,419.88 × 110,796.24
  4. Step 4: Simplify right side
    406,284.24x = 67,521,431,285.25
  5. Step 5: Solve for x
    x = 67,521,431,285.25/406,284.24
  6. Step 6: Final answer
    x = 166,192.59

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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.