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Finding the Fourth Proportional to 523,796.64, 722,839.44 and 285,332.64

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Solution

The fourth proportional to 523,796.64, 722,839.44 and 285,332.64 is: 393,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,796.64 : 722,839.44 = 285,332.64 : x
  2. Step 2: Convert to fraction form
    523,796.64/722,839.44 = 285,332.64/x
  3. Step 3: Cross multiply
    523,796.64x = 722,839.44 × 285,332.64
  4. Step 4: Simplify right side
    523,796.64x = 206,249,685,711.32
  5. Step 5: Solve for x
    x = 206,249,685,711.32/523,796.64
  6. Step 6: Final answer
    x = 393,759.09

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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.