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Finding the Fourth Proportional to 598,193.28, 897,710.76 and 541,021.50

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Solution

The fourth proportional to 598,193.28, 897,710.76 and 541,021.50 is: 811,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,193.28 : 897,710.76 = 541,021.50 : x
  2. Step 2: Convert to fraction form
    598,193.28/897,710.76 = 541,021.50/x
  3. Step 3: Cross multiply
    598,193.28x = 897,710.76 × 541,021.50
  4. Step 4: Simplify right side
    598,193.28x = 485,680,821,941.34
  5. Step 5: Solve for x
    x = 485,680,821,941.34/598,193.28
  6. Step 6: Final answer
    x = 811,912.87

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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.