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Finding the Fourth Proportional to 423,286.62, 584,142.66 and 232,317.78

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Solution

The fourth proportional to 423,286.62, 584,142.66 and 232,317.78 is: 320,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,286.62 : 584,142.66 = 232,317.78 : x
  2. Step 2: Convert to fraction form
    423,286.62/584,142.66 = 232,317.78/x
  3. Step 3: Cross multiply
    423,286.62x = 584,142.66 × 232,317.78
  4. Step 4: Simplify right side
    423,286.62x = 135,706,725,974.50
  5. Step 5: Solve for x
    x = 135,706,725,974.50/423,286.62
  6. Step 6: Final answer
    x = 320,602.45

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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.