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Finding the Fourth Proportional to 419,107.10, 628,754.41 and 152,867.62

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Solution

The fourth proportional to 419,107.10, 628,754.41 and 152,867.62 is: 229,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,107.10 : 628,754.41 = 152,867.62 : x
  2. Step 2: Convert to fraction form
    419,107.10/628,754.41 = 152,867.62/x
  3. Step 3: Cross multiply
    419,107.10x = 628,754.41 × 152,867.62
  4. Step 4: Simplify right side
    419,107.10x = 96,116,186,926.33
  5. Step 5: Solve for x
    x = 96,116,186,926.33/419,107.10
  6. Step 6: Final answer
    x = 229,335.62

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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.