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Finding the Fourth Proportional to 470,305.44, 704,974.96 and 185,880.40

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Solution

The fourth proportional to 470,305.44, 704,974.96 and 185,880.40 is: 278,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,305.44 : 704,974.96 = 185,880.40 : x
  2. Step 2: Convert to fraction form
    470,305.44/704,974.96 = 185,880.40/x
  3. Step 3: Cross multiply
    470,305.44x = 704,974.96 × 185,880.40
  4. Step 4: Simplify right side
    470,305.44x = 131,041,027,554.78
  5. Step 5: Solve for x
    x = 131,041,027,554.78/470,305.44
  6. Step 6: Final answer
    x = 278,629.62

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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.