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Finding the Fourth Proportional to 419,116.89, 628,799.46 and 241,751.19

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Solution

The fourth proportional to 419,116.89, 628,799.46 and 241,751.19 is: 362,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,116.89 : 628,799.46 = 241,751.19 : x
  2. Step 2: Convert to fraction form
    419,116.89/628,799.46 = 241,751.19/x
  3. Step 3: Cross multiply
    419,116.89x = 628,799.46 × 241,751.19
  4. Step 4: Simplify right side
    419,116.89x = 152,013,017,726.36
  5. Step 5: Solve for x
    x = 152,013,017,726.36/419,116.89
  6. Step 6: Final answer
    x = 362,698.38

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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.