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Finding the Fourth Proportional to 416,389.90, 624,202.14 and 150,085.24

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Solution

The fourth proportional to 416,389.90, 624,202.14 and 150,085.24 is: 224,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,389.90 : 624,202.14 = 150,085.24 : x
  2. Step 2: Convert to fraction form
    416,389.90/624,202.14 = 150,085.24/x
  3. Step 3: Cross multiply
    416,389.90x = 624,202.14 × 150,085.24
  4. Step 4: Simplify right side
    416,389.90x = 93,683,527,990.41
  5. Step 5: Solve for x
    x = 93,683,527,990.41/416,389.90
  6. Step 6: Final answer
    x = 224,989.91

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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.