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Finding the Fourth Proportional to 259,799.40, 389,699.10 and 252,023.40

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Solution

The fourth proportional to 259,799.40, 389,699.10 and 252,023.40 is: 378,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,799.40 : 389,699.10 = 252,023.40 : x
  2. Step 2: Convert to fraction form
    259,799.40/389,699.10 = 252,023.40/x
  3. Step 3: Cross multiply
    259,799.40x = 389,699.10 × 252,023.40
  4. Step 4: Simplify right side
    259,799.40x = 98,213,292,158.94
  5. Step 5: Solve for x
    x = 98,213,292,158.94/259,799.40
  6. Step 6: Final answer
    x = 378,035.10

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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.