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Finding the Fourth Proportional to 379,656.82, 523,903.90 and 209,880.82

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Solution

The fourth proportional to 379,656.82, 523,903.90 and 209,880.82 is: 289,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,656.82 : 523,903.90 = 209,880.82 : x
  2. Step 2: Convert to fraction form
    379,656.82/523,903.90 = 209,880.82/x
  3. Step 3: Cross multiply
    379,656.82x = 523,903.90 × 209,880.82
  4. Step 4: Simplify right side
    379,656.82x = 109,957,380,133.20
  5. Step 5: Solve for x
    x = 109,957,380,133.20/379,656.82
  6. Step 6: Final answer
    x = 289,623.09

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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.