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Finding the Fourth Proportional to 509,996.46, 764,294.85 and 322,672.62

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Solution

The fourth proportional to 509,996.46, 764,294.85 and 322,672.62 is: 483,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,996.46 : 764,294.85 = 322,672.62 : x
  2. Step 2: Convert to fraction form
    509,996.46/764,294.85 = 322,672.62/x
  3. Step 3: Cross multiply
    509,996.46x = 764,294.85 × 322,672.62
  4. Step 4: Simplify right side
    509,996.46x = 246,617,021,702.01
  5. Step 5: Solve for x
    x = 246,617,021,702.01/509,996.46
  6. Step 6: Final answer
    x = 483,566.14

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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.