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Finding the Fourth Proportional to 541,773.20, 811,912.44 and 408,507

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Solution

The fourth proportional to 541,773.20, 811,912.44 and 408,507 is: 612,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,773.20 : 811,912.44 = 408,507 : x
  2. Step 2: Convert to fraction form
    541,773.20/811,912.44 = 408,507/x
  3. Step 3: Cross multiply
    541,773.20x = 811,912.44 × 408,507
  4. Step 4: Simplify right side
    541,773.20x = 331,671,915,127.08
  5. Step 5: Solve for x
    x = 331,671,915,127.08/541,773.20
  6. Step 6: Final answer
    x = 612,196.98

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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.