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Finding the Fourth Proportional to 309,722.40, 465,620.40 and 264,103.20

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Solution

The fourth proportional to 309,722.40, 465,620.40 and 264,103.20 is: 397,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,722.40 : 465,620.40 = 264,103.20 : x
  2. Step 2: Convert to fraction form
    309,722.40/465,620.40 = 264,103.20/x
  3. Step 3: Cross multiply
    309,722.40x = 465,620.40 × 264,103.20
  4. Step 4: Simplify right side
    309,722.40x = 122,971,837,625.28
  5. Step 5: Solve for x
    x = 122,971,837,625.28/309,722.40
  6. Step 6: Final answer
    x = 397,038.89

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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.