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Finding the Fourth Proportional to 423,742.82, 584,749.38 and 232,744.82

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Solution

The fourth proportional to 423,742.82, 584,749.38 and 232,744.82 is: 321,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,742.82 : 584,749.38 = 232,744.82 : x
  2. Step 2: Convert to fraction form
    423,742.82/584,749.38 = 232,744.82/x
  3. Step 3: Cross multiply
    423,742.82x = 584,749.38 × 232,744.82
  4. Step 4: Simplify right side
    423,742.82x = 136,097,389,193.21
  5. Step 5: Solve for x
    x = 136,097,389,193.21/423,742.82
  6. Step 6: Final answer
    x = 321,179.22

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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.