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Finding the Fourth Proportional to 509,806.36, 764,262.42 and 194,053.24

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Solution

The fourth proportional to 509,806.36, 764,262.42 and 194,053.24 is: 290,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,806.36 : 764,262.42 = 194,053.24 : x
  2. Step 2: Convert to fraction form
    509,806.36/764,262.42 = 194,053.24/x
  3. Step 3: Cross multiply
    509,806.36x = 764,262.42 × 194,053.24
  4. Step 4: Simplify right side
    509,806.36x = 148,307,598,811.24
  5. Step 5: Solve for x
    x = 148,307,598,811.24/509,806.36
  6. Step 6: Final answer
    x = 290,909.67

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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.