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Finding the Fourth Proportional to 541,902.40, 811,978.80 and 341,864.80

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Solution

The fourth proportional to 541,902.40, 811,978.80 and 341,864.80 is: 512,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,902.40 : 811,978.80 = 341,864.80 : x
  2. Step 2: Convert to fraction form
    541,902.40/811,978.80 = 341,864.80/x
  3. Step 3: Cross multiply
    541,902.40x = 811,978.80 × 341,864.80
  4. Step 4: Simplify right side
    541,902.40x = 277,586,970,066.24
  5. Step 5: Solve for x
    x = 277,586,970,066.24/541,902.40
  6. Step 6: Final answer
    x = 512,245.32

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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.