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Finding the Fourth Proportional to 585,791.34, 878,371.02 and 265,768.56

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Solution

The fourth proportional to 585,791.34, 878,371.02 and 265,768.56 is: 398,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,791.34 : 878,371.02 = 265,768.56 : x
  2. Step 2: Convert to fraction form
    585,791.34/878,371.02 = 265,768.56/x
  3. Step 3: Cross multiply
    585,791.34x = 878,371.02 × 265,768.56
  4. Step 4: Simplify right side
    585,791.34x = 233,443,401,131.13
  5. Step 5: Solve for x
    x = 233,443,401,131.13/585,791.34
  6. Step 6: Final answer
    x = 398,509.48

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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.