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Finding the Fourth Proportional to 531,194.54, 733,027.13 and 289,471.96

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Solution

The fourth proportional to 531,194.54, 733,027.13 and 289,471.96 is: 399,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,194.54 : 733,027.13 = 289,471.96 : x
  2. Step 2: Convert to fraction form
    531,194.54/733,027.13 = 289,471.96/x
  3. Step 3: Cross multiply
    531,194.54x = 733,027.13 × 289,471.96
  4. Step 4: Simplify right side
    531,194.54x = 212,190,798,945.39
  5. Step 5: Solve for x
    x = 212,190,798,945.39/531,194.54
  6. Step 6: Final answer
    x = 399,459.68

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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.