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Finding the Fourth Proportional to 329,145.28, 493,714.26 and 104,499.67

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Solution

The fourth proportional to 329,145.28, 493,714.26 and 104,499.67 is: 156,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,145.28 : 493,714.26 = 104,499.67 : x
  2. Step 2: Convert to fraction form
    329,145.28/493,714.26 = 104,499.67/x
  3. Step 3: Cross multiply
    329,145.28x = 493,714.26 × 104,499.67
  4. Step 4: Simplify right side
    329,145.28x = 51,592,977,244.29
  5. Step 5: Solve for x
    x = 51,592,977,244.29/329,145.28
  6. Step 6: Final answer
    x = 156,748.34

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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.