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Finding the Fourth Proportional to 541,881.40, 811,947.30 and 341,843.80

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Solution

The fourth proportional to 541,881.40, 811,947.30 and 341,843.80 is: 512,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,881.40 : 811,947.30 = 341,843.80 : x
  2. Step 2: Convert to fraction form
    541,881.40/811,947.30 = 341,843.80/x
  3. Step 3: Cross multiply
    541,881.40x = 811,947.30 × 341,843.80
  4. Step 4: Simplify right side
    541,881.40x = 277,559,150,431.74
  5. Step 5: Solve for x
    x = 277,559,150,431.74/541,881.40
  6. Step 6: Final answer
    x = 512,213.84

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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.