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Finding the Fourth Proportional to 416,521.34, 624,652.70 and 150,247.20

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Solution

The fourth proportional to 416,521.34, 624,652.70 and 150,247.20 is: 225,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,521.34 : 624,652.70 = 150,247.20 : x
  2. Step 2: Convert to fraction form
    416,521.34/624,652.70 = 150,247.20/x
  3. Step 3: Cross multiply
    416,521.34x = 624,652.70 × 150,247.20
  4. Step 4: Simplify right side
    416,521.34x = 93,852,319,147.44
  5. Step 5: Solve for x
    x = 93,852,319,147.44/416,521.34
  6. Step 6: Final answer
    x = 225,324.16

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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.