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Finding the Fourth Proportional to 756,244, 1,043,638.68 and 416,734.12

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Solution

The fourth proportional to 756,244, 1,043,638.68 and 416,734.12 is: 575,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,244 : 1,043,638.68 = 416,734.12 : x
  2. Step 2: Convert to fraction form
    756,244/1,043,638.68 = 416,734.12/x
  3. Step 3: Cross multiply
    756,244x = 1,043,638.68 × 416,734.12
  4. Step 4: Simplify right side
    756,244x = 434,919,846,907.76
  5. Step 5: Solve for x
    x = 434,919,846,907.76/756,244
  6. Step 6: Final answer
    x = 575,105.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.