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Finding the Fourth Proportional to 277,543.92, 383,013.86 and 162,824.54

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Solution

The fourth proportional to 277,543.92, 383,013.86 and 162,824.54 is: 224,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,543.92 : 383,013.86 = 162,824.54 : x
  2. Step 2: Convert to fraction form
    277,543.92/383,013.86 = 162,824.54/x
  3. Step 3: Cross multiply
    277,543.92x = 383,013.86 × 162,824.54
  4. Step 4: Simplify right side
    277,543.92x = 62,364,052,838.93
  5. Step 5: Solve for x
    x = 62,364,052,838.93/277,543.92
  6. Step 6: Final answer
    x = 224,699.76

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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.