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Finding the Fourth Proportional to 331,804.20, 497,584.80 and 107,223.60

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Solution

The fourth proportional to 331,804.20, 497,584.80 and 107,223.60 is: 160,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,804.20 : 497,584.80 = 107,223.60 : x
  2. Step 2: Convert to fraction form
    331,804.20/497,584.80 = 107,223.60/x
  3. Step 3: Cross multiply
    331,804.20x = 497,584.80 × 107,223.60
  4. Step 4: Simplify right side
    331,804.20x = 53,352,833,561.28
  5. Step 5: Solve for x
    x = 53,352,833,561.28/331,804.20
  6. Step 6: Final answer
    x = 160,796.14

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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.