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Finding the Fourth Proportional to 472,085.68, 708,198.88 and 168,456.17

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Solution

The fourth proportional to 472,085.68, 708,198.88 and 168,456.17 is: 252,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,085.68 : 708,198.88 = 168,456.17 : x
  2. Step 2: Convert to fraction form
    472,085.68/708,198.88 = 168,456.17/x
  3. Step 3: Cross multiply
    472,085.68x = 708,198.88 × 168,456.17
  4. Step 4: Simplify right side
    472,085.68x = 119,300,468,604.68
  5. Step 5: Solve for x
    x = 119,300,468,604.68/472,085.68
  6. Step 6: Final answer
    x = 252,709.36

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1.5x scale

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.