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Finding the Fourth Proportional to 472,085.54, 708,198.65 and 168,456.02

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Solution

The fourth proportional to 472,085.54, 708,198.65 and 168,456.02 is: 252,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,085.54 : 708,198.65 = 168,456.02 : x
  2. Step 2: Convert to fraction form
    472,085.54/708,198.65 = 168,456.02/x
  3. Step 3: Cross multiply
    472,085.54x = 708,198.65 × 168,456.02
  4. Step 4: Simplify right side
    472,085.54x = 119,300,321,880.96
  5. Step 5: Solve for x
    x = 119,300,321,880.96/472,085.54
  6. Step 6: Final answer
    x = 252,709.12

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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.