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Finding the Fourth Proportional to 416,444.19, 624,916.19 and 179,786.64

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Solution

The fourth proportional to 416,444.19, 624,916.19 and 179,786.64 is: 269,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,444.19 : 624,916.19 = 179,786.64 : x
  2. Step 2: Convert to fraction form
    416,444.19/624,916.19 = 179,786.64/x
  3. Step 3: Cross multiply
    416,444.19x = 624,916.19 × 179,786.64
  4. Step 4: Simplify right side
    416,444.19x = 112,351,581,182.77
  5. Step 5: Solve for x
    x = 112,351,581,182.77/416,444.19
  6. Step 6: Final answer
    x = 269,787.85

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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.