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Finding the Fourth Proportional to 433,100.46, 649,720.76 and 133,510.98

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Solution

The fourth proportional to 433,100.46, 649,720.76 and 133,510.98 is: 200,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,100.46 : 649,720.76 = 133,510.98 : x
  2. Step 2: Convert to fraction form
    433,100.46/649,720.76 = 133,510.98/x
  3. Step 3: Cross multiply
    433,100.46x = 649,720.76 × 133,510.98
  4. Step 4: Simplify right side
    433,100.46x = 86,744,855,393.94
  5. Step 5: Solve for x
    x = 86,744,855,393.94/433,100.46
  6. Step 6: Final answer
    x = 200,288.07

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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.