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Finding the Fourth Proportional to 416,561.23, 624,712.63 and 150,287.14

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Solution

The fourth proportional to 416,561.23, 624,712.63 and 150,287.14 is: 225,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,561.23 : 624,712.63 = 150,287.14 : x
  2. Step 2: Convert to fraction form
    416,561.23/624,712.63 = 150,287.14/x
  3. Step 3: Cross multiply
    416,561.23x = 624,712.63 × 150,287.14
  4. Step 4: Simplify right side
    416,561.23x = 93,886,274,484.58
  5. Step 5: Solve for x
    x = 93,886,274,484.58/416,561.23
  6. Step 6: Final answer
    x = 225,384.09

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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.