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Finding the Fourth Proportional to 544,751.64, 816,522.12 and 411,198.84

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Solution

The fourth proportional to 544,751.64, 816,522.12 and 411,198.84 is: 616,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,751.64 : 816,522.12 = 411,198.84 : x
  2. Step 2: Convert to fraction form
    544,751.64/816,522.12 = 411,198.84/x
  3. Step 3: Cross multiply
    544,751.64x = 816,522.12 × 411,198.84
  4. Step 4: Simplify right side
    544,751.64x = 335,752,948,578.34
  5. Step 5: Solve for x
    x = 335,752,948,578.34/544,751.64
  6. Step 6: Final answer
    x = 616,341.33

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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.