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Finding the Fourth Proportional to 426,125.60, 638,410.80 and 259,719.20

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Solution

The fourth proportional to 426,125.60, 638,410.80 and 259,719.20 is: 389,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,125.60 : 638,410.80 = 259,719.20 : x
  2. Step 2: Convert to fraction form
    426,125.60/638,410.80 = 259,719.20/x
  3. Step 3: Cross multiply
    426,125.60x = 638,410.80 × 259,719.20
  4. Step 4: Simplify right side
    426,125.60x = 165,807,542,247.36
  5. Step 5: Solve for x
    x = 165,807,542,247.36/426,125.60
  6. Step 6: Final answer
    x = 389,104.86

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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.