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Finding the Fourth Proportional to 416,529.19, 624,664.61 and 150,255.10

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Solution

The fourth proportional to 416,529.19, 624,664.61 and 150,255.10 is: 225,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,529.19 : 624,664.61 = 150,255.10 : x
  2. Step 2: Convert to fraction form
    416,529.19/624,664.61 = 150,255.10/x
  3. Step 3: Cross multiply
    416,529.19x = 624,664.61 × 150,255.10
  4. Step 4: Simplify right side
    416,529.19x = 93,859,044,035.02
  5. Step 5: Solve for x
    x = 93,859,044,035.02/416,529.19
  6. Step 6: Final answer
    x = 225,336.06

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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.