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Finding the Fourth Proportional to 541,978.20, 811,412.10 and 332,026.20

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Solution

The fourth proportional to 541,978.20, 811,412.10 and 332,026.20 is: 497,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,978.20 : 811,412.10 = 332,026.20 : x
  2. Step 2: Convert to fraction form
    541,978.20/811,412.10 = 332,026.20/x
  3. Step 3: Cross multiply
    541,978.20x = 811,412.10 × 332,026.20
  4. Step 4: Simplify right side
    541,978.20x = 269,410,076,197.02
  5. Step 5: Solve for x
    x = 269,410,076,197.02/541,978.20
  6. Step 6: Final answer
    x = 497,086.55

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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.