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Finding the Fourth Proportional to 416,564.74, 624,717.88 and 150,290.64

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Solution

The fourth proportional to 416,564.74, 624,717.88 and 150,290.64 is: 225,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,564.74 : 624,717.88 = 150,290.64 : x
  2. Step 2: Convert to fraction form
    416,564.74/624,717.88 = 150,290.64/x
  3. Step 3: Cross multiply
    416,564.74x = 624,717.88 × 150,290.64
  4. Step 4: Simplify right side
    416,564.74x = 93,889,250,004.64
  5. Step 5: Solve for x
    x = 93,889,250,004.64/416,564.74
  6. Step 6: Final answer
    x = 225,389.34

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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.