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Finding the Fourth Proportional to 416,295.36, 624,189.92 and 163,272.64

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Solution

The fourth proportional to 416,295.36, 624,189.92 and 163,272.64 is: 244,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,295.36 : 624,189.92 = 163,272.64 : x
  2. Step 2: Convert to fraction form
    416,295.36/624,189.92 = 163,272.64/x
  3. Step 3: Cross multiply
    416,295.36x = 624,189.92 × 163,272.64
  4. Step 4: Simplify right side
    416,295.36x = 101,913,136,099.79
  5. Step 5: Solve for x
    x = 101,913,136,099.79/416,295.36
  6. Step 6: Final answer
    x = 244,809.69

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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.