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Finding the Fourth Proportional to 486,469.80, 727,736.40 and 427,420.80

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Solution

The fourth proportional to 486,469.80, 727,736.40 and 427,420.80 is: 639,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,469.80 : 727,736.40 = 427,420.80 : x
  2. Step 2: Convert to fraction form
    486,469.80/727,736.40 = 427,420.80/x
  3. Step 3: Cross multiply
    486,469.80x = 727,736.40 × 427,420.80
  4. Step 4: Simplify right side
    486,469.80x = 311,049,674,277.12
  5. Step 5: Solve for x
    x = 311,049,674,277.12/486,469.80
  6. Step 6: Final answer
    x = 639,401.82

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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.