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Finding the Fourth Proportional to 312,354.09, 468,040.55 and 241,450.47

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Solution

The fourth proportional to 312,354.09, 468,040.55 and 241,450.47 is: 361,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,354.09 : 468,040.55 = 241,450.47 : x
  2. Step 2: Convert to fraction form
    312,354.09/468,040.55 = 241,450.47/x
  3. Step 3: Cross multiply
    312,354.09x = 468,040.55 × 241,450.47
  4. Step 4: Simplify right side
    312,354.09x = 113,008,609,569.31
  5. Step 5: Solve for x
    x = 113,008,609,569.31/312,354.09
  6. Step 6: Final answer
    x = 361,796.48

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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.