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Finding the Fourth Proportional to 348,198, 522,302.76 and 151,206

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Solution

The fourth proportional to 348,198, 522,302.76 and 151,206 is: 226,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,198 : 522,302.76 = 151,206 : x
  2. Step 2: Convert to fraction form
    348,198/522,302.76 = 151,206/x
  3. Step 3: Cross multiply
    348,198x = 522,302.76 × 151,206
  4. Step 4: Simplify right side
    348,198x = 78,975,311,128.56
  5. Step 5: Solve for x
    x = 78,975,311,128.56/348,198
  6. Step 6: Final answer
    x = 226,811.50

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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.