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Finding the Fourth Proportional to 433,136.16, 649,507.44 and 133,560.96

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Solution

The fourth proportional to 433,136.16, 649,507.44 and 133,560.96 is: 200,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,136.16 : 649,507.44 = 133,560.96 : x
  2. Step 2: Convert to fraction form
    433,136.16/649,507.44 = 133,560.96/x
  3. Step 3: Cross multiply
    433,136.16x = 649,507.44 × 133,560.96
  4. Step 4: Simplify right side
    433,136.16x = 86,748,837,213.54
  5. Step 5: Solve for x
    x = 86,748,837,213.54/433,136.16
  6. Step 6: Final answer
    x = 200,280.76

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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.