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Finding the Fourth Proportional to 543,205.20, 814,577.40 and 262,808.40

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Solution

The fourth proportional to 543,205.20, 814,577.40 and 262,808.40 is: 394,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,205.20 : 814,577.40 = 262,808.40 : x
  2. Step 2: Convert to fraction form
    543,205.20/814,577.40 = 262,808.40/x
  3. Step 3: Cross multiply
    543,205.20x = 814,577.40 × 262,808.40
  4. Step 4: Simplify right side
    543,205.20x = 214,077,783,170.16
  5. Step 5: Solve for x
    x = 214,077,783,170.16/543,205.20
  6. Step 6: Final answer
    x = 394,101.13

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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.