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Finding the Fourth Proportional to 541,199.80, 811,782.96 and 257,094.84

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Solution

The fourth proportional to 541,199.80, 811,782.96 and 257,094.84 is: 385,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,199.80 : 811,782.96 = 257,094.84 : x
  2. Step 2: Convert to fraction form
    541,199.80/811,782.96 = 257,094.84/x
  3. Step 3: Cross multiply
    541,199.80x = 811,782.96 × 257,094.84
  4. Step 4: Simplify right side
    541,199.80x = 208,705,206,892.75
  5. Step 5: Solve for x
    x = 208,705,206,892.75/541,199.80
  6. Step 6: Final answer
    x = 385,634.30

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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.