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Finding the Fourth Proportional to 376,137.57, 519,106.32 and 214,961.82

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Solution

The fourth proportional to 376,137.57, 519,106.32 and 214,961.82 is: 296,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,137.57 : 519,106.32 = 214,961.82 : x
  2. Step 2: Convert to fraction form
    376,137.57/519,106.32 = 214,961.82/x
  3. Step 3: Cross multiply
    376,137.57x = 519,106.32 × 214,961.82
  4. Step 4: Simplify right side
    376,137.57x = 111,588,041,754.01
  5. Step 5: Solve for x
    x = 111,588,041,754.01/376,137.57
  6. Step 6: Final answer
    x = 296,668.16

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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.