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Finding the Fourth Proportional to 431,364.80, 647,338.80 and 241,824.80

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Solution

The fourth proportional to 431,364.80, 647,338.80 and 241,824.80 is: 362,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364.80 : 647,338.80 = 241,824.80 : x
  2. Step 2: Convert to fraction form
    431,364.80/647,338.80 = 241,824.80/x
  3. Step 3: Cross multiply
    431,364.80x = 647,338.80 × 241,824.80
  4. Step 4: Simplify right side
    431,364.80x = 156,542,575,842.24
  5. Step 5: Solve for x
    x = 156,542,575,842.24/431,364.80
  6. Step 6: Final answer
    x = 362,900.67

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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.