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Finding the Fourth Proportional to 416,652.33, 624,849.51 and 150,379.14

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Solution

The fourth proportional to 416,652.33, 624,849.51 and 150,379.14 is: 225,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,652.33 : 624,849.51 = 150,379.14 : x
  2. Step 2: Convert to fraction form
    416,652.33/624,849.51 = 150,379.14/x
  3. Step 3: Cross multiply
    416,652.33x = 624,849.51 × 150,379.14
  4. Step 4: Simplify right side
    416,652.33x = 93,964,331,943.22
  5. Step 5: Solve for x
    x = 93,964,331,943.22/416,652.33
  6. Step 6: Final answer
    x = 225,522.16

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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.