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Finding the Fourth Proportional to 419,014.13, 628,645.14 and 241,648.43

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Solution

The fourth proportional to 419,014.13, 628,645.14 and 241,648.43 is: 362,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,014.13 : 628,645.14 = 241,648.43 : x
  2. Step 2: Convert to fraction form
    419,014.13/628,645.14 = 241,648.43/x
  3. Step 3: Cross multiply
    419,014.13x = 628,645.14 × 241,648.43
  4. Step 4: Simplify right side
    419,014.13x = 151,911,107,964.91
  5. Step 5: Solve for x
    x = 151,911,107,964.91/419,014.13
  6. Step 6: Final answer
    x = 362,544.12

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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.