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Finding the Fourth Proportional to 469,909.97, 648,474.12 and 255,050.03

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Solution

The fourth proportional to 469,909.97, 648,474.12 and 255,050.03 is: 351,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,909.97 : 648,474.12 = 255,050.03 : x
  2. Step 2: Convert to fraction form
    469,909.97/648,474.12 = 255,050.03/x
  3. Step 3: Cross multiply
    469,909.97x = 648,474.12 × 255,050.03
  4. Step 4: Simplify right side
    469,909.97x = 165,393,340,517.85
  5. Step 5: Solve for x
    x = 165,393,340,517.85/469,909.97
  6. Step 6: Final answer
    x = 351,968.15

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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.