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Finding the Fourth Proportional to 423,241.34, 584,081.97 and 232,253.06

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Solution

The fourth proportional to 423,241.34, 584,081.97 and 232,253.06 is: 320,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,241.34 : 584,081.97 = 232,253.06 : x
  2. Step 2: Convert to fraction form
    423,241.34/584,081.97 = 232,253.06/x
  3. Step 3: Cross multiply
    423,241.34x = 584,081.97 × 232,253.06
  4. Step 4: Simplify right side
    423,241.34x = 135,654,824,823.33
  5. Step 5: Solve for x
    x = 135,654,824,823.33/423,241.34
  6. Step 6: Final answer
    x = 320,514.12

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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.