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Finding the Fourth Proportional to 492,476.02, 738,736.64 and 150,894.97

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Solution

The fourth proportional to 492,476.02, 738,736.64 and 150,894.97 is: 226,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,476.02 : 738,736.64 = 150,894.97 : x
  2. Step 2: Convert to fraction form
    492,476.02/738,736.64 = 150,894.97/x
  3. Step 3: Cross multiply
    492,476.02x = 738,736.64 × 150,894.97
  4. Step 4: Simplify right side
    492,476.02x = 111,471,643,130.70
  5. Step 5: Solve for x
    x = 111,471,643,130.70/492,476.02
  6. Step 6: Final answer
    x = 226,349.38

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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.