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Finding the Fourth Proportional to 499,402.72, 689,013.03 and 305,608.21

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Solution

The fourth proportional to 499,402.72, 689,013.03 and 305,608.21 is: 421,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,402.72 : 689,013.03 = 305,608.21 : x
  2. Step 2: Convert to fraction form
    499,402.72/689,013.03 = 305,608.21/x
  3. Step 3: Cross multiply
    499,402.72x = 689,013.03 × 305,608.21
  4. Step 4: Simplify right side
    499,402.72x = 210,568,038,764.98
  5. Step 5: Solve for x
    x = 210,568,038,764.98/499,402.72
  6. Step 6: Final answer
    x = 421,639.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.