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Finding the Fourth Proportional to 383,523.19, 575,367.82 and 146,865.88

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Solution

The fourth proportional to 383,523.19, 575,367.82 and 146,865.88 is: 220,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,523.19 : 575,367.82 = 146,865.88 : x
  2. Step 2: Convert to fraction form
    383,523.19/575,367.82 = 146,865.88/x
  3. Step 3: Cross multiply
    383,523.19x = 575,367.82 × 146,865.88
  4. Step 4: Simplify right side
    383,523.19x = 84,501,899,149.70
  5. Step 5: Solve for x
    x = 84,501,899,149.70/383,523.19
  6. Step 6: Final answer
    x = 220,330.61

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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.