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Finding the Fourth Proportional to 307,854.20, 461,003.70 and 202,100.60

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Solution

The fourth proportional to 307,854.20, 461,003.70 and 202,100.60 is: 302,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,854.20 : 461,003.70 = 202,100.60 : x
  2. Step 2: Convert to fraction form
    307,854.20/461,003.70 = 202,100.60/x
  3. Step 3: Cross multiply
    307,854.20x = 461,003.70 × 202,100.60
  4. Step 4: Simplify right side
    307,854.20x = 93,169,124,372.22
  5. Step 5: Solve for x
    x = 93,169,124,372.22/307,854.20
  6. Step 6: Final answer
    x = 302,640.42

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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.