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Finding the Fourth Proportional to 541,227.32, 811,824.18 and 257,122.32

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Solution

The fourth proportional to 541,227.32, 811,824.18 and 257,122.32 is: 385,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,227.32 : 811,824.18 = 257,122.32 : x
  2. Step 2: Convert to fraction form
    541,227.32/811,824.18 = 257,122.32/x
  3. Step 3: Cross multiply
    541,227.32x = 811,824.18 × 257,122.32
  4. Step 4: Simplify right side
    541,227.32x = 208,738,116,593.70
  5. Step 5: Solve for x
    x = 208,738,116,593.70/541,227.32
  6. Step 6: Final answer
    x = 385,675.50

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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.