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Finding the Fourth Proportional to 419,070.51, 627,605.20 and 241,203.64

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Solution

The fourth proportional to 419,070.51, 627,605.20 and 241,203.64 is: 361,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,070.51 : 627,605.20 = 241,203.64 : x
  2. Step 2: Convert to fraction form
    419,070.51/627,605.20 = 241,203.64/x
  3. Step 3: Cross multiply
    419,070.51x = 627,605.20 × 241,203.64
  4. Step 4: Simplify right side
    419,070.51x = 151,380,658,722.93
  5. Step 5: Solve for x
    x = 151,380,658,722.93/419,070.51
  6. Step 6: Final answer
    x = 361,229.57

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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.