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Finding the Fourth Proportional to 426,391.51, 588,404.83 and 232,795.65

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Solution

The fourth proportional to 426,391.51, 588,404.83 and 232,795.65 is: 321,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,391.51 : 588,404.83 = 232,795.65 : x
  2. Step 2: Convert to fraction form
    426,391.51/588,404.83 = 232,795.65/x
  3. Step 3: Cross multiply
    426,391.51x = 588,404.83 × 232,795.65
  4. Step 4: Simplify right side
    426,391.51x = 136,978,087,035.73
  5. Step 5: Solve for x
    x = 136,978,087,035.73/426,391.51
  6. Step 6: Final answer
    x = 321,249.57

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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.