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Finding the Fourth Proportional to 381,115.20, 525,938.82 and 211,349.34

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Solution

The fourth proportional to 381,115.20, 525,938.82 and 211,349.34 is: 291,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,115.20 : 525,938.82 = 211,349.34 : x
  2. Step 2: Convert to fraction form
    381,115.20/525,938.82 = 211,349.34/x
  3. Step 3: Cross multiply
    381,115.20x = 525,938.82 × 211,349.34
  4. Step 4: Simplify right side
    381,115.20x = 111,156,822,487.38
  5. Step 5: Solve for x
    x = 111,156,822,487.38/381,115.20
  6. Step 6: Final answer
    x = 291,662.00

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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.