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Finding the Fourth Proportional to 433,047.66, 649,529.69 and 133,447.79

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Solution

The fourth proportional to 433,047.66, 649,529.69 and 133,447.79 is: 200,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,047.66 : 649,529.69 = 133,447.79 : x
  2. Step 2: Convert to fraction form
    433,047.66/649,529.69 = 133,447.79/x
  3. Step 3: Cross multiply
    433,047.66x = 649,529.69 × 133,447.79
  4. Step 4: Simplify right side
    433,047.66x = 86,678,303,377.11
  5. Step 5: Solve for x
    x = 86,678,303,377.11/433,047.66
  6. Step 6: Final answer
    x = 200,158.81

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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.