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Finding the Fourth Proportional to 437,523.20, 656,284.80 and 259,938.80

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Solution

The fourth proportional to 437,523.20, 656,284.80 and 259,938.80 is: 389,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,523.20 : 656,284.80 = 259,938.80 : x
  2. Step 2: Convert to fraction form
    437,523.20/656,284.80 = 259,938.80/x
  3. Step 3: Cross multiply
    437,523.20x = 656,284.80 × 259,938.80
  4. Step 4: Simplify right side
    437,523.20x = 170,593,883,370.24
  5. Step 5: Solve for x
    x = 170,593,883,370.24/437,523.20
  6. Step 6: Final answer
    x = 389,908.20

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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.