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Finding the Fourth Proportional to 331,408.80, 497,113.20 and 144,784.80

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Solution

The fourth proportional to 331,408.80, 497,113.20 and 144,784.80 is: 217,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,408.80 : 497,113.20 = 144,784.80 : x
  2. Step 2: Convert to fraction form
    331,408.80/497,113.20 = 144,784.80/x
  3. Step 3: Cross multiply
    331,408.80x = 497,113.20 × 144,784.80
  4. Step 4: Simplify right side
    331,408.80x = 71,974,435,239.36
  5. Step 5: Solve for x
    x = 71,974,435,239.36/331,408.80
  6. Step 6: Final answer
    x = 217,177.20

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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.