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Finding the Fourth Proportional to 492,399.44, 738,322.12 and 155,377.27

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Solution

The fourth proportional to 492,399.44, 738,322.12 and 155,377.27 is: 232,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,399.44 : 738,322.12 = 155,377.27 : x
  2. Step 2: Convert to fraction form
    492,399.44/738,322.12 = 155,377.27/x
  3. Step 3: Cross multiply
    492,399.44x = 738,322.12 × 155,377.27
  4. Step 4: Simplify right side
    492,399.44x = 114,718,476,503.34
  5. Step 5: Solve for x
    x = 114,718,476,503.34/492,399.44
  6. Step 6: Final answer
    x = 232,978.49

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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.