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Finding the Fourth Proportional to 433,833.87, 649,619.01 and 349,131.36

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Solution

The fourth proportional to 433,833.87, 649,619.01 and 349,131.36 is: 522,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,833.87 : 649,619.01 = 349,131.36 : x
  2. Step 2: Convert to fraction form
    433,833.87/649,619.01 = 349,131.36/x
  3. Step 3: Cross multiply
    433,833.87x = 649,619.01 × 349,131.36
  4. Step 4: Simplify right side
    433,833.87x = 226,802,368,443.15
  5. Step 5: Solve for x
    x = 226,802,368,443.15/433,833.87
  6. Step 6: Final answer
    x = 522,786.22

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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.