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Finding the Fourth Proportional to 329,279.96, 493,695.20 and 175,428.96

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Solution

The fourth proportional to 329,279.96, 493,695.20 and 175,428.96 is: 263,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,279.96 : 493,695.20 = 175,428.96 : x
  2. Step 2: Convert to fraction form
    329,279.96/493,695.20 = 175,428.96/x
  3. Step 3: Cross multiply
    329,279.96x = 493,695.20 × 175,428.96
  4. Step 4: Simplify right side
    329,279.96x = 86,608,435,492.99
  5. Step 5: Solve for x
    x = 86,608,435,492.99/329,279.96
  6. Step 6: Final answer
    x = 263,023.71

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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.