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Finding the Fourth Proportional to 382,770.84, 574,279.20 and 116,582.88

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Solution

The fourth proportional to 382,770.84, 574,279.20 and 116,582.88 is: 174,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,770.84 : 574,279.20 = 116,582.88 : x
  2. Step 2: Convert to fraction form
    382,770.84/574,279.20 = 116,582.88/x
  3. Step 3: Cross multiply
    382,770.84x = 574,279.20 × 116,582.88
  4. Step 4: Simplify right side
    382,770.84x = 66,951,123,060.10
  5. Step 5: Solve for x
    x = 66,951,123,060.10/382,770.84
  6. Step 6: Final answer
    x = 174,911.76

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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.