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Finding the Fourth Proportional to 492,845.33, 738,950.24 and 193,356.20

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Solution

The fourth proportional to 492,845.33, 738,950.24 and 193,356.20 is: 289,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,845.33 : 738,950.24 = 193,356.20 : x
  2. Step 2: Convert to fraction form
    492,845.33/738,950.24 = 193,356.20/x
  3. Step 3: Cross multiply
    492,845.33x = 738,950.24 × 193,356.20
  4. Step 4: Simplify right side
    492,845.33x = 142,880,612,726.25
  5. Step 5: Solve for x
    x = 142,880,612,726.25/492,845.33
  6. Step 6: Final answer
    x = 289,909.64

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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.