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Finding the Fourth Proportional to 509,500.96, 763,242.24 and 349,182.88

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Solution

The fourth proportional to 509,500.96, 763,242.24 and 349,182.88 is: 523,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,500.96 : 763,242.24 = 349,182.88 : x
  2. Step 2: Convert to fraction form
    509,500.96/763,242.24 = 349,182.88/x
  3. Step 3: Cross multiply
    509,500.96x = 763,242.24 × 349,182.88
  4. Step 4: Simplify right side
    509,500.96x = 266,511,123,500.85
  5. Step 5: Solve for x
    x = 266,511,123,500.85/509,500.96
  6. Step 6: Final answer
    x = 523,082.67

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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.