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Finding the Fourth Proportional to 433,016.18, 649,358.22 and 148,653.73

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Solution

The fourth proportional to 433,016.18, 649,358.22 and 148,653.73 is: 222,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,016.18 : 649,358.22 = 148,653.73 : x
  2. Step 2: Convert to fraction form
    433,016.18/649,358.22 = 148,653.73/x
  3. Step 3: Cross multiply
    433,016.18x = 649,358.22 × 148,653.73
  4. Step 4: Simplify right side
    433,016.18x = 96,529,521,509.16
  5. Step 5: Solve for x
    x = 96,529,521,509.16/433,016.18
  6. Step 6: Final answer
    x = 222,923.59

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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.