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Finding the Fourth Proportional to 397,164.66, 548,090.94 and 215,877

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Solution

The fourth proportional to 397,164.66, 548,090.94 and 215,877 is: 297,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,164.66 : 548,090.94 = 215,877 : x
  2. Step 2: Convert to fraction form
    397,164.66/548,090.94 = 215,877/x
  3. Step 3: Cross multiply
    397,164.66x = 548,090.94 × 215,877
  4. Step 4: Simplify right side
    397,164.66x = 118,320,227,854.38
  5. Step 5: Solve for x
    x = 118,320,227,854.38/397,164.66
  6. Step 6: Final answer
    x = 297,912.28

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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.