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Finding the Fourth Proportional to 531,486.38, 797,226.19 and 194,550.50

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Solution

The fourth proportional to 531,486.38, 797,226.19 and 194,550.50 is: 291,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,486.38 : 797,226.19 = 194,550.50 : x
  2. Step 2: Convert to fraction form
    531,486.38/797,226.19 = 194,550.50/x
  3. Step 3: Cross multiply
    531,486.38x = 797,226.19 × 194,550.50
  4. Step 4: Simplify right side
    531,486.38x = 155,100,753,877.60
  5. Step 5: Solve for x
    x = 155,100,753,877.60/531,486.38
  6. Step 6: Final answer
    x = 291,824.51

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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.