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Finding the Fourth Proportional to 541,378.98, 811,611.78 and 341,258.28

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Solution

The fourth proportional to 541,378.98, 811,611.78 and 341,258.28 is: 511,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,378.98 : 811,611.78 = 341,258.28 : x
  2. Step 2: Convert to fraction form
    541,378.98/811,611.78 = 341,258.28/x
  3. Step 3: Cross multiply
    541,378.98x = 811,611.78 × 341,258.28
  4. Step 4: Simplify right side
    541,378.98x = 276,969,240,070.54
  5. Step 5: Solve for x
    x = 276,969,240,070.54/541,378.98
  6. Step 6: Final answer
    x = 511,599.55

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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.