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Finding the Fourth Proportional to 523,337.09, 722,299.43 and 308,464.61

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Solution

The fourth proportional to 523,337.09, 722,299.43 and 308,464.61 is: 425,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,337.09 : 722,299.43 = 308,464.61 : x
  2. Step 2: Convert to fraction form
    523,337.09/722,299.43 = 308,464.61/x
  3. Step 3: Cross multiply
    523,337.09x = 722,299.43 × 308,464.61
  4. Step 4: Simplify right side
    523,337.09x = 222,803,809,137.84
  5. Step 5: Solve for x
    x = 222,803,809,137.84/523,337.09
  6. Step 6: Final answer
    x = 425,736.71

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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.