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Finding the Fourth Proportional to 433,247.61, 649,621.27 and 133,647.75

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Solution

The fourth proportional to 433,247.61, 649,621.27 and 133,647.75 is: 200,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,247.61 : 649,621.27 = 133,647.75 : x
  2. Step 2: Convert to fraction form
    433,247.61/649,621.27 = 133,647.75/x
  3. Step 3: Cross multiply
    433,247.61x = 649,621.27 × 133,647.75
  4. Step 4: Simplify right side
    433,247.61x = 86,820,417,505.42
  5. Step 5: Solve for x
    x = 86,820,417,505.42/433,247.61
  6. Step 6: Final answer
    x = 200,394.45

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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.