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Finding the Fourth Proportional to 433,015.62, 649,357.37 and 148,653.17

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Solution

The fourth proportional to 433,015.62, 649,357.37 and 148,653.17 is: 222,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,015.62 : 649,357.37 = 148,653.17 : x
  2. Step 2: Convert to fraction form
    433,015.62/649,357.37 = 148,653.17/x
  3. Step 3: Cross multiply
    433,015.62x = 649,357.37 × 148,653.17
  4. Step 4: Simplify right side
    433,015.62x = 96,529,031,513.36
  5. Step 5: Solve for x
    x = 96,529,031,513.36/433,015.62
  6. Step 6: Final answer
    x = 222,922.75

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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.