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Finding the Fourth Proportional to 423,221.52, 584,081.97 and 232,271.82

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Solution

The fourth proportional to 423,221.52, 584,081.97 and 232,271.82 is: 320,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,221.52 : 584,081.97 = 232,271.82 : x
  2. Step 2: Convert to fraction form
    423,221.52/584,081.97 = 232,271.82/x
  3. Step 3: Cross multiply
    423,221.52x = 584,081.97 × 232,271.82
  4. Step 4: Simplify right side
    423,221.52x = 135,665,782,201.09
  5. Step 5: Solve for x
    x = 135,665,782,201.09/423,221.52
  6. Step 6: Final answer
    x = 320,555.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.