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Finding the Fourth Proportional to 422,519.84, 633,353.30 and 264,859.01

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Solution

The fourth proportional to 422,519.84, 633,353.30 and 264,859.01 is: 397,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,519.84 : 633,353.30 = 264,859.01 : x
  2. Step 2: Convert to fraction form
    422,519.84/633,353.30 = 264,859.01/x
  3. Step 3: Cross multiply
    422,519.84x = 633,353.30 × 264,859.01
  4. Step 4: Simplify right side
    422,519.84x = 167,749,328,277.32
  5. Step 5: Solve for x
    x = 167,749,328,277.32/422,519.84
  6. Step 6: Final answer
    x = 397,021.18

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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.