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Finding the Fourth Proportional to 277,838.24, 383,424.23 and 156,976.92

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Solution

The fourth proportional to 277,838.24, 383,424.23 and 156,976.92 is: 216,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.24 : 383,424.23 = 156,976.92 : x
  2. Step 2: Convert to fraction form
    277,838.24/383,424.23 = 156,976.92/x
  3. Step 3: Cross multiply
    277,838.24x = 383,424.23 × 156,976.92
  4. Step 4: Simplify right side
    277,838.24x = 60,188,755,071.21
  5. Step 5: Solve for x
    x = 60,188,755,071.21/277,838.24
  6. Step 6: Final answer
    x = 216,632.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.