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Finding the Fourth Proportional to 605,123.20, 906,129.60 and 446,492.80

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Solution

The fourth proportional to 605,123.20, 906,129.60 and 446,492.80 is: 668,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,123.20 : 906,129.60 = 446,492.80 : x
  2. Step 2: Convert to fraction form
    605,123.20/906,129.60 = 446,492.80/x
  3. Step 3: Cross multiply
    605,123.20x = 906,129.60 × 446,492.80
  4. Step 4: Simplify right side
    605,123.20x = 404,580,342,266.88
  5. Step 5: Solve for x
    x = 404,580,342,266.88/605,123.20
  6. Step 6: Final answer
    x = 668,591.69

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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.