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Finding the Fourth Proportional to 416,536.28, 624,812.10 and 150,316.76

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Solution

The fourth proportional to 416,536.28, 624,812.10 and 150,316.76 is: 225,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,536.28 : 624,812.10 = 150,316.76 : x
  2. Step 2: Convert to fraction form
    416,536.28/624,812.10 = 150,316.76/x
  3. Step 3: Cross multiply
    416,536.28x = 624,812.10 × 150,316.76
  4. Step 4: Simplify right side
    416,536.28x = 93,919,730,480.80
  5. Step 5: Solve for x
    x = 93,919,730,480.80/416,536.28
  6. Step 6: Final answer
    x = 225,477.91

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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.