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Finding the Fourth Proportional to 293,265.52, 440,209.34 and 259,749.11

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Solution

The fourth proportional to 293,265.52, 440,209.34 and 259,749.11 is: 389,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,265.52 : 440,209.34 = 259,749.11 : x
  2. Step 2: Convert to fraction form
    293,265.52/440,209.34 = 259,749.11/x
  3. Step 3: Cross multiply
    293,265.52x = 440,209.34 × 259,749.11
  4. Step 4: Simplify right side
    293,265.52x = 114,343,984,278.69
  5. Step 5: Solve for x
    x = 114,343,984,278.69/293,265.52
  6. Step 6: Final answer
    x = 389,899.17

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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.