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Finding the Fourth Proportional to 416,295.30, 624,692.02 and 179,637.92

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Solution

The fourth proportional to 416,295.30, 624,692.02 and 179,637.92 is: 269,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,295.30 : 624,692.02 = 179,637.92 : x
  2. Step 2: Convert to fraction form
    416,295.30/624,692.02 = 179,637.92/x
  3. Step 3: Cross multiply
    416,295.30x = 624,692.02 × 179,637.92
  4. Step 4: Simplify right side
    416,295.30x = 112,218,375,113.40
  5. Step 5: Solve for x
    x = 112,218,375,113.40/416,295.30
  6. Step 6: Final answer
    x = 269,564.36

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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.