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Finding the Fourth Proportional to 468,953.60, 647,449.44 and 361,319.36

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Solution

The fourth proportional to 468,953.60, 647,449.44 and 361,319.36 is: 498,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,953.60 : 647,449.44 = 361,319.36 : x
  2. Step 2: Convert to fraction form
    468,953.60/647,449.44 = 361,319.36/x
  3. Step 3: Cross multiply
    468,953.60x = 647,449.44 × 361,319.36
  4. Step 4: Simplify right side
    468,953.60x = 233,936,017,293.16
  5. Step 5: Solve for x
    x = 233,936,017,293.16/468,953.60
  6. Step 6: Final answer
    x = 498,846.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.