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Finding the Fourth Proportional to 327,907.22, 492,003.90 and 114,828.07

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Solution

The fourth proportional to 327,907.22, 492,003.90 and 114,828.07 is: 172,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,907.22 : 492,003.90 = 114,828.07 : x
  2. Step 2: Convert to fraction form
    327,907.22/492,003.90 = 114,828.07/x
  3. Step 3: Cross multiply
    327,907.22x = 492,003.90 × 114,828.07
  4. Step 4: Simplify right side
    327,907.22x = 56,495,858,269.47
  5. Step 5: Solve for x
    x = 56,495,858,269.47/327,907.22
  6. Step 6: Final answer
    x = 172,292.21

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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.