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Finding the Fourth Proportional to 307,620.10, 460,933.35 and 174,103.30

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Solution

The fourth proportional to 307,620.10, 460,933.35 and 174,103.30 is: 260,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,620.10 : 460,933.35 = 174,103.30 : x
  2. Step 2: Convert to fraction form
    307,620.10/460,933.35 = 174,103.30/x
  3. Step 3: Cross multiply
    307,620.10x = 460,933.35 × 174,103.30
  4. Step 4: Simplify right side
    307,620.10x = 80,250,017,315.06
  5. Step 5: Solve for x
    x = 80,250,017,315.06/307,620.10
  6. Step 6: Final answer
    x = 260,873.78

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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.