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Finding the Fourth Proportional to 547,107.20, 818,793.60 and 458,460.80

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Solution

The fourth proportional to 547,107.20, 818,793.60 and 458,460.80 is: 686,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,107.20 : 818,793.60 = 458,460.80 : x
  2. Step 2: Convert to fraction form
    547,107.20/818,793.60 = 458,460.80/x
  3. Step 3: Cross multiply
    547,107.20x = 818,793.60 × 458,460.80
  4. Step 4: Simplify right side
    547,107.20x = 375,384,768,890.88
  5. Step 5: Solve for x
    x = 375,384,768,890.88/547,107.20
  6. Step 6: Final answer
    x = 686,126.54

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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.