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Finding the Fourth Proportional to 383,558.76, 575,343.03 and 146,915.64

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Solution

The fourth proportional to 383,558.76, 575,343.03 and 146,915.64 is: 220,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,558.76 : 575,343.03 = 146,915.64 : x
  2. Step 2: Convert to fraction form
    383,558.76/575,343.03 = 146,915.64/x
  3. Step 3: Cross multiply
    383,558.76x = 575,343.03 × 146,915.64
  4. Step 4: Simplify right side
    383,558.76x = 84,526,889,471.99
  5. Step 5: Solve for x
    x = 84,526,889,471.99/383,558.76
  6. Step 6: Final answer
    x = 220,375.33

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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.