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Finding the Fourth Proportional to 378,427.60, 566,863.80 and 260,232.40

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Solution

The fourth proportional to 378,427.60, 566,863.80 and 260,232.40 is: 389,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,427.60 : 566,863.80 = 260,232.40 : x
  2. Step 2: Convert to fraction form
    378,427.60/566,863.80 = 260,232.40/x
  3. Step 3: Cross multiply
    378,427.60x = 566,863.80 × 260,232.40
  4. Step 4: Simplify right side
    378,427.60x = 147,516,327,147.12
  5. Step 5: Solve for x
    x = 147,516,327,147.12/378,427.60
  6. Step 6: Final answer
    x = 389,813.87

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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.