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Finding the Fourth Proportional to 419,071.51, 627,606.70 and 241,204.64

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Solution

The fourth proportional to 419,071.51, 627,606.70 and 241,204.64 is: 361,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,071.51 : 627,606.70 = 241,204.64 : x
  2. Step 2: Convert to fraction form
    419,071.51/627,606.70 = 241,204.64/x
  3. Step 3: Cross multiply
    419,071.51x = 627,606.70 × 241,204.64
  4. Step 4: Simplify right side
    419,071.51x = 151,381,648,135.09
  5. Step 5: Solve for x
    x = 151,381,648,135.09/419,071.51
  6. Step 6: Final answer
    x = 361,231.07

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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.