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Finding the Fourth Proportional to 416,281.28, 624,671.03 and 179,623.97

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Solution

The fourth proportional to 416,281.28, 624,671.03 and 179,623.97 is: 269,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,281.28 : 624,671.03 = 179,623.97 : x
  2. Step 2: Convert to fraction form
    416,281.28/624,671.03 = 179,623.97/x
  3. Step 3: Cross multiply
    416,281.28x = 624,671.03 × 179,623.97
  4. Step 4: Simplify right side
    416,281.28x = 112,205,886,331.11
  5. Step 5: Solve for x
    x = 112,205,886,331.11/416,281.28
  6. Step 6: Final answer
    x = 269,543.44

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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.