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Finding the Fourth Proportional to 423,709.38, 584,727.26 and 232,733.25

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Solution

The fourth proportional to 423,709.38, 584,727.26 and 232,733.25 is: 321,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,709.38 : 584,727.26 = 232,733.25 : x
  2. Step 2: Convert to fraction form
    423,709.38/584,727.26 = 232,733.25/x
  3. Step 3: Cross multiply
    423,709.38x = 584,727.26 × 232,733.25
  4. Step 4: Simplify right side
    423,709.38x = 136,085,474,419.73
  5. Step 5: Solve for x
    x = 136,085,474,419.73/423,709.38
  6. Step 6: Final answer
    x = 321,176.45

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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.