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Finding the Fourth Proportional to 382,990.38, 574,524.84 and 146,531.94

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Solution

The fourth proportional to 382,990.38, 574,524.84 and 146,531.94 is: 219,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,990.38 : 574,524.84 = 146,531.94 : x
  2. Step 2: Convert to fraction form
    382,990.38/574,524.84 = 146,531.94/x
  3. Step 3: Cross multiply
    382,990.38x = 574,524.84 × 146,531.94
  4. Step 4: Simplify right side
    382,990.38x = 84,186,239,383.39
  5. Step 5: Solve for x
    x = 84,186,239,383.39/382,990.38
  6. Step 6: Final answer
    x = 219,812.93

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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.