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Finding the Fourth Proportional to 322,679.20, 484,034.64 and 86,024

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Solution

The fourth proportional to 322,679.20, 484,034.64 and 86,024 is: 129,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,679.20 : 484,034.64 = 86,024 : x
  2. Step 2: Convert to fraction form
    322,679.20/484,034.64 = 86,024/x
  3. Step 3: Cross multiply
    322,679.20x = 484,034.64 × 86,024
  4. Step 4: Simplify right side
    322,679.20x = 41,638,595,871.36
  5. Step 5: Solve for x
    x = 41,638,595,871.36/322,679.20
  6. Step 6: Final answer
    x = 129,040.22

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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.