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Finding the Fourth Proportional to 356,523.40, 534,612.30 and 198,584.20

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Solution

The fourth proportional to 356,523.40, 534,612.30 and 198,584.20 is: 297,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,523.40 : 534,612.30 = 198,584.20 : x
  2. Step 2: Convert to fraction form
    356,523.40/534,612.30 = 198,584.20/x
  3. Step 3: Cross multiply
    356,523.40x = 534,612.30 × 198,584.20
  4. Step 4: Simplify right side
    356,523.40x = 106,165,555,905.66
  5. Step 5: Solve for x
    x = 106,165,555,905.66/356,523.40
  6. Step 6: Final answer
    x = 297,780.05

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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.