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Finding the Fourth Proportional to 335,665.92, 503,719.74 and 158,223

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Solution

The fourth proportional to 335,665.92, 503,719.74 and 158,223 is: 237,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,665.92 : 503,719.74 = 158,223 : x
  2. Step 2: Convert to fraction form
    335,665.92/503,719.74 = 158,223/x
  3. Step 3: Cross multiply
    335,665.92x = 503,719.74 × 158,223
  4. Step 4: Simplify right side
    335,665.92x = 79,700,048,422.02
  5. Step 5: Solve for x
    x = 79,700,048,422.02/335,665.92
  6. Step 6: Final answer
    x = 237,438.61

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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.