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Finding the Fourth Proportional to 307,858.20, 461,009.70 and 202,104.60

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Solution

The fourth proportional to 307,858.20, 461,009.70 and 202,104.60 is: 302,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,858.20 : 461,009.70 = 202,104.60 : x
  2. Step 2: Convert to fraction form
    307,858.20/461,009.70 = 202,104.60/x
  3. Step 3: Cross multiply
    307,858.20x = 461,009.70 × 202,104.60
  4. Step 4: Simplify right side
    307,858.20x = 93,172,181,014.62
  5. Step 5: Solve for x
    x = 93,172,181,014.62/307,858.20
  6. Step 6: Final answer
    x = 302,646.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.