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Finding the Fourth Proportional to 492,475.76, 738,736.28 and 150,894.72

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Solution

The fourth proportional to 492,475.76, 738,736.28 and 150,894.72 is: 226,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,475.76 : 738,736.28 = 150,894.72 : x
  2. Step 2: Convert to fraction form
    492,475.76/738,736.28 = 150,894.72/x
  3. Step 3: Cross multiply
    492,475.76x = 738,736.28 × 150,894.72
  4. Step 4: Simplify right side
    492,475.76x = 111,471,404,124.44
  5. Step 5: Solve for x
    x = 111,471,404,124.44/492,475.76
  6. Step 6: Final answer
    x = 226,349.02

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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.