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Finding the Fourth Proportional to 423,286.78, 584,122.55 and 232,295.26

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Solution

The fourth proportional to 423,286.78, 584,122.55 and 232,295.26 is: 320,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,286.78 : 584,122.55 = 232,295.26 : x
  2. Step 2: Convert to fraction form
    423,286.78/584,122.55 = 232,295.26/x
  3. Step 3: Cross multiply
    423,286.78x = 584,122.55 × 232,295.26
  4. Step 4: Simplify right side
    423,286.78x = 135,688,899,624.11
  5. Step 5: Solve for x
    x = 135,688,899,624.11/423,286.78
  6. Step 6: Final answer
    x = 320,560.21

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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.