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Finding the Fourth Proportional to 344,624.62, 475,511.71 and 201,357

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Solution

The fourth proportional to 344,624.62, 475,511.71 and 201,357 is: 277,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,624.62 : 475,511.71 = 201,357 : x
  2. Step 2: Convert to fraction form
    344,624.62/475,511.71 = 201,357/x
  3. Step 3: Cross multiply
    344,624.62x = 475,511.71 × 201,357
  4. Step 4: Simplify right side
    344,624.62x = 95,747,611,390.47
  5. Step 5: Solve for x
    x = 95,747,611,390.47/344,624.62
  6. Step 6: Final answer
    x = 277,831.61

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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.