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Finding the Fourth Proportional to 473,604.24, 709,910.16 and 220,676.07

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Solution

The fourth proportional to 473,604.24, 709,910.16 and 220,676.07 is: 330,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,604.24 : 709,910.16 = 220,676.07 : x
  2. Step 2: Convert to fraction form
    473,604.24/709,910.16 = 220,676.07/x
  3. Step 3: Cross multiply
    473,604.24x = 709,910.16 × 220,676.07
  4. Step 4: Simplify right side
    473,604.24x = 156,660,184,161.87
  5. Step 5: Solve for x
    x = 156,660,184,161.87/473,604.24
  6. Step 6: Final answer
    x = 330,782.90

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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.