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Finding the Fourth Proportional to 433,016.12, 649,358.12 and 148,653.68

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Solution

The fourth proportional to 433,016.12, 649,358.12 and 148,653.68 is: 222,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,016.12 : 649,358.12 = 148,653.68 : x
  2. Step 2: Convert to fraction form
    433,016.12/649,358.12 = 148,653.68/x
  3. Step 3: Cross multiply
    433,016.12x = 649,358.12 × 148,653.68
  4. Step 4: Simplify right side
    433,016.12x = 96,529,470,185.82
  5. Step 5: Solve for x
    x = 96,529,470,185.82/433,016.12
  6. Step 6: Final answer
    x = 222,923.51

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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.