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Finding the Fourth Proportional to 331,408.60, 497,112.90 and 182,109.40

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Solution

The fourth proportional to 331,408.60, 497,112.90 and 182,109.40 is: 273,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,408.60 : 497,112.90 = 182,109.40 : x
  2. Step 2: Convert to fraction form
    331,408.60/497,112.90 = 182,109.40/x
  3. Step 3: Cross multiply
    331,408.60x = 497,112.90 × 182,109.40
  4. Step 4: Simplify right side
    331,408.60x = 90,528,931,951.26
  5. Step 5: Solve for x
    x = 90,528,931,951.26/331,408.60
  6. Step 6: Final answer
    x = 273,164.10

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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.