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Finding the Fourth Proportional to 331,406.60, 497,109.90 and 182,107.40

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Solution

The fourth proportional to 331,406.60, 497,109.90 and 182,107.40 is: 273,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,406.60 : 497,109.90 = 182,107.40 : x
  2. Step 2: Convert to fraction form
    331,406.60/497,109.90 = 182,107.40/x
  3. Step 3: Cross multiply
    331,406.60x = 497,109.90 × 182,107.40
  4. Step 4: Simplify right side
    331,406.60x = 90,527,391,403.26
  5. Step 5: Solve for x
    x = 90,527,391,403.26/331,406.60
  6. Step 6: Final answer
    x = 273,161.10

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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.