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Finding the Fourth Proportional to 416,828.16, 625,114.56 and 150,555.84

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Solution

The fourth proportional to 416,828.16, 625,114.56 and 150,555.84 is: 225,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,828.16 : 625,114.56 = 150,555.84 : x
  2. Step 2: Convert to fraction form
    416,828.16/625,114.56 = 150,555.84/x
  3. Step 3: Cross multiply
    416,828.16x = 625,114.56 × 150,555.84
  4. Step 4: Simplify right side
    416,828.16x = 94,114,647,677.03
  5. Step 5: Solve for x
    x = 94,114,647,677.03/416,828.16
  6. Step 6: Final answer
    x = 225,787.64

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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.