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Finding the Fourth Proportional to 407,136.72, 610,082.31 and 217,624.08

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Solution

The fourth proportional to 407,136.72, 610,082.31 and 217,624.08 is: 326,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,136.72 : 610,082.31 = 217,624.08 : x
  2. Step 2: Convert to fraction form
    407,136.72/610,082.31 = 217,624.08/x
  3. Step 3: Cross multiply
    407,136.72x = 610,082.31 × 217,624.08
  4. Step 4: Simplify right side
    407,136.72x = 132,768,601,438.03
  5. Step 5: Solve for x
    x = 132,768,601,438.03/407,136.72
  6. Step 6: Final answer
    x = 326,103.23

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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.