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Finding the Fourth Proportional to 403,427.60, 606,453.60 and 285,912.80

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Solution

The fourth proportional to 403,427.60, 606,453.60 and 285,912.80 is: 429,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,427.60 : 606,453.60 = 285,912.80 : x
  2. Step 2: Convert to fraction form
    403,427.60/606,453.60 = 285,912.80/x
  3. Step 3: Cross multiply
    403,427.60x = 606,453.60 × 285,912.80
  4. Step 4: Simplify right side
    403,427.60x = 173,392,846,846.08
  5. Step 5: Solve for x
    x = 173,392,846,846.08/403,427.60
  6. Step 6: Final answer
    x = 429,799.17

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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.