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Finding the Fourth Proportional to 422,544.84, 633,390.74 and 264,884.04

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Solution

The fourth proportional to 422,544.84, 633,390.74 and 264,884.04 is: 397,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,544.84 : 633,390.74 = 264,884.04 : x
  2. Step 2: Convert to fraction form
    422,544.84/633,390.74 = 264,884.04/x
  3. Step 3: Cross multiply
    422,544.84x = 633,390.74 × 264,884.04
  4. Step 4: Simplify right side
    422,544.84x = 167,775,098,109.79
  5. Step 5: Solve for x
    x = 167,775,098,109.79/422,544.84
  6. Step 6: Final answer
    x = 397,058.68

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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.