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Finding the Fourth Proportional to 427,738.80, 640,225.80 and 333,735.60

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Solution

The fourth proportional to 427,738.80, 640,225.80 and 333,735.60 is: 499,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,738.80 : 640,225.80 = 333,735.60 : x
  2. Step 2: Convert to fraction form
    427,738.80/640,225.80 = 333,735.60/x
  3. Step 3: Cross multiply
    427,738.80x = 640,225.80 × 333,735.60
  4. Step 4: Simplify right side
    427,738.80x = 213,666,141,498.48
  5. Step 5: Solve for x
    x = 213,666,141,498.48/427,738.80
  6. Step 6: Final answer
    x = 499,524.81

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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.