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Finding the Fourth Proportional to 344,297.45, 475,056.76 and 200,992.45

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Solution

The fourth proportional to 344,297.45, 475,056.76 and 200,992.45 is: 277,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,297.45 : 475,056.76 = 200,992.45 : x
  2. Step 2: Convert to fraction form
    344,297.45/475,056.76 = 200,992.45/x
  3. Step 3: Cross multiply
    344,297.45x = 475,056.76 × 200,992.45
  4. Step 4: Simplify right side
    344,297.45x = 95,482,822,081.46
  5. Step 5: Solve for x
    x = 95,482,822,081.46/344,297.45
  6. Step 6: Final answer
    x = 277,326.54

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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.