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Finding the Fourth Proportional to 442,704.60, 664,224.57 and 265,338.90

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Solution

The fourth proportional to 442,704.60, 664,224.57 and 265,338.90 is: 398,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,704.60 : 664,224.57 = 265,338.90 : x
  2. Step 2: Convert to fraction form
    442,704.60/664,224.57 = 265,338.90/x
  3. Step 3: Cross multiply
    442,704.60x = 664,224.57 × 265,338.90
  4. Step 4: Simplify right side
    442,704.60x = 176,244,616,756.77
  5. Step 5: Solve for x
    x = 176,244,616,756.77/442,704.60
  6. Step 6: Final answer
    x = 398,108.84

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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.