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Finding the Fourth Proportional to 382,818.70, 574,311.09 and 116,572.24

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Solution

The fourth proportional to 382,818.70, 574,311.09 and 116,572.24 is: 174,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,818.70 : 574,311.09 = 116,572.24 : x
  2. Step 2: Convert to fraction form
    382,818.70/574,311.09 = 116,572.24/x
  3. Step 3: Cross multiply
    382,818.70x = 574,311.09 × 116,572.24
  4. Step 4: Simplify right side
    382,818.70x = 66,948,730,218.14
  5. Step 5: Solve for x
    x = 66,948,730,218.14/382,818.70
  6. Step 6: Final answer
    x = 174,883.65

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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.