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Finding the Fourth Proportional to 302,609.97, 417,461.55 and 195,214.60

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Solution

The fourth proportional to 302,609.97, 417,461.55 and 195,214.60 is: 269,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,609.97 : 417,461.55 = 195,214.60 : x
  2. Step 2: Convert to fraction form
    302,609.97/417,461.55 = 195,214.60/x
  3. Step 3: Cross multiply
    302,609.97x = 417,461.55 × 195,214.60
  4. Step 4: Simplify right side
    302,609.97x = 81,494,589,498.63
  5. Step 5: Solve for x
    x = 81,494,589,498.63/302,609.97
  6. Step 6: Final answer
    x = 269,305.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.