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Finding the Fourth Proportional to 335,004.71, 502,399.09 and 110,311.65

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Solution

The fourth proportional to 335,004.71, 502,399.09 and 110,311.65 is: 165,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,004.71 : 502,399.09 = 110,311.65 : x
  2. Step 2: Convert to fraction form
    335,004.71/502,399.09 = 110,311.65/x
  3. Step 3: Cross multiply
    335,004.71x = 502,399.09 × 110,311.65
  4. Step 4: Simplify right side
    335,004.71x = 55,420,472,300.62
  5. Step 5: Solve for x
    x = 55,420,472,300.62/335,004.71
  6. Step 6: Final answer
    x = 165,431.92

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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.