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Finding the Fourth Proportional to 492,506.19, 738,781.38 and 150,924.51

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Solution

The fourth proportional to 492,506.19, 738,781.38 and 150,924.51 is: 226,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,506.19 : 738,781.38 = 150,924.51 : x
  2. Step 2: Convert to fraction form
    492,506.19/738,781.38 = 150,924.51/x
  3. Step 3: Cross multiply
    492,506.19x = 738,781.38 × 150,924.51
  4. Step 4: Simplify right side
    492,506.19x = 111,500,217,773.62
  5. Step 5: Solve for x
    x = 111,500,217,773.62/492,506.19
  6. Step 6: Final answer
    x = 226,393.54

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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.