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Finding the Fourth Proportional to 416,467.80, 624,701.70 and 179,645.40

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Solution

The fourth proportional to 416,467.80, 624,701.70 and 179,645.40 is: 269,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,467.80 : 624,701.70 = 179,645.40 : x
  2. Step 2: Convert to fraction form
    416,467.80/624,701.70 = 179,645.40/x
  3. Step 3: Cross multiply
    416,467.80x = 624,701.70 × 179,645.40
  4. Step 4: Simplify right side
    416,467.80x = 112,224,786,777.18
  5. Step 5: Solve for x
    x = 112,224,786,777.18/416,467.80
  6. Step 6: Final answer
    x = 269,468.10

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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.