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Finding the Fourth Proportional to 455,245.92, 682,693.92 and 314,578.08

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Solution

The fourth proportional to 455,245.92, 682,693.92 and 314,578.08 is: 471,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,245.92 : 682,693.92 = 314,578.08 : x
  2. Step 2: Convert to fraction form
    455,245.92/682,693.92 = 314,578.08/x
  3. Step 3: Cross multiply
    455,245.92x = 682,693.92 × 314,578.08
  4. Step 4: Simplify right side
    455,245.92x = 214,760,542,581.27
  5. Step 5: Solve for x
    x = 214,760,542,581.27/455,245.92
  6. Step 6: Final answer
    x = 471,746.22

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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.