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Finding the Fourth Proportional to 531,489.38, 797,230.69 and 194,553.50

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Solution

The fourth proportional to 531,489.38, 797,230.69 and 194,553.50 is: 291,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,489.38 : 797,230.69 = 194,553.50 : x
  2. Step 2: Convert to fraction form
    531,489.38/797,230.69 = 194,553.50/x
  3. Step 3: Cross multiply
    531,489.38x = 797,230.69 × 194,553.50
  4. Step 4: Simplify right side
    531,489.38x = 155,104,021,046.92
  5. Step 5: Solve for x
    x = 155,104,021,046.92/531,489.38
  6. Step 6: Final answer
    x = 291,829.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.